Mathematics: what’s the lcd of 6/7, 3/5, and 1/4

what’s the lcd of 6/7, 3/5, and 1/4, №8857198, 10.05.2022 07:15

Mathematics

What is the lcd of 6/7, 3/5, and 1/4? a.33 b.70 c.100 d.140

Step-by-step answer

P Answered by PhD

14

The least common denominator of 6/7, 3/5, and 1/4 is D. 140

The LCD of 3/5 and 1/4 is 20. However, 6/7 must be considered.
So, 20 x 7 = 140.

140 ÷ 7 = 20
140 ÷ 5 = 28
140 ÷ 4 = 35

Least common denominator is need when we add or subtract fractions.

Mathematics

What is the lcd of 6/7, 3/5, and 1/4? a.33 b.70 c.100 d.140

Step-by-step answer

P Answered by PhD

14

The least common denominator of 6/7, 3/5, and 1/4 is D. 140

The LCD of 3/5 and 1/4 is 20. However, 6/7 must be considered.
So, 20 x 7 = 140.

140 ÷ 7 = 20
140 ÷ 5 = 28
140 ÷ 4 = 35

Least common denominator is need when we add or subtract fractions.

Mathematics

1. find the lcd of 3/5 and 1/6. a. 5 b. 6 c. 11 d. 30 2. what is the difference between 3/7 and 1/14. a. 1 2 b. 4/14 c. 5/14 d. 9/14 3. if sandy s cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of a cup, how much brown sugar does she use? a. 7/9 cup b. 5/9 cup c. 4/9 cup d. 1/9 cup 4. what value could be added to 2/15 to make the sum greater than 1/2? a. 1/15 b. 8/30 c. 5/15 d. 8/15 5. which set of mixed numbers has a difference less than 1? a. 1 2/9, 1 1/9 b. 3 4/7, 2 1/7 c. 2 4/5, 1 1/3 d. 2 7/9, 1 1/3

Step-by-step answer

P Answered by PhD

22

1. LCD of 3/5 and 1/6 is 30

2. 3/7 - 1/14 = 6/14 - 1/14 = 5/14

3. 1/3 + 2/9 = 3/9 + 2/9 = 5/9

4. 8/15

5. 1 2/9 - 1 1/9

Mathematics

1. find the lcd of 3/5 and 1/6. a. 5 b. 6 c. 11 d. 30 2. what is the difference between 3/7 and 1/14. a. 1 2 b. 4/14 c. 5/14 d. 9/14 3. if sandy s cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of a cup, how much brown sugar does she use? a. 7/9 cup b. 5/9 cup c. 4/9 cup d. 1/9 cup 4. what value could be added to 2/15 to make the sum greater than 1/2? a. 1/15 b. 8/30 c. 5/15 d. 8/15 5. which set of mixed numbers has a difference less than 1? a. 1 2/9, 1 1/9 b. 3 4/7, 2 1/7 c. 2 4/5, 1 1/3 d. 2 7/9, 1 1/3

Step-by-step answer

P Answered by PhD

22

1. LCD of 3/5 and 1/6 is 30

2. 3/7 - 1/14 = 6/14 - 1/14 = 5/14

3. 1/3 + 2/9 = 3/9 + 2/9 = 5/9

4. 8/15

5. 1 2/9 - 1 1/9

Mathematics

Find the lcd of 3/5 and 1/6. a. 5b. 6c. 11d. 302. what is the difference between 3/7 and 1/14. a. 1 2b. 4/14c. 5/14d. 9/143. if sandy s cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of a cup, how much brown sugar does she use? a. 7/9 cupb. 5/9 cup c. 4/9 cupd. 1/9 cup4. what value could be added to 2/15 to make the sum greater than 1/2? a. 1/15b. 8/30c. 5/15d. 8/15 5. which set of mixed numbers has a difference less than 1? a. 1 2/9, 1 1/9b. 3 4/7, 2 1/7c. 2 4/5, 1 1/3d. 2 7/9, 1 1/3

Step-by-step answer

P Answered by Specialist

1

Question 1:

We have to find the LCD of $\frac{3}{5}$ and $\frac{1}{6}$

LCD is the least common denominator is the lowest common multiple of the denominators of a set of fractions.

Here the denominators are 5 and 6.

So, we will find the LCM of 5 and 6

5 = $5 \times 1$

6 = $2 \times 3$

LCM of 5 and 6 = $2 \times 3 \times 5$

= 30

Therefore, the LCD of these numbers is 30.

Question 2:

We have to find the difference between $\frac{3}{7}$ and $\frac{1}{14}$ .

Difference = $\frac{3}{7}- \frac{1}{14}$

LCM of 7 and 14 is 14

Therefore, difference = $\frac{6-1}{14}$

= $\frac{5}{14}$

Question 3:

Amount of brown sugar used by Sandy = $\frac{1}{3}$

Amount of sugar increased by Sandy = $\frac{2}{9}$

Total amount of Sugar used by Sandy = $\frac{1}{3}+\frac{2}{9}$

LCM of 3 and 9 is 9.

Total amount of Sugar used = $\frac{3+2}{9}$

= $\frac{5}{9}$ cup

Question 4:

Let the number which should be added to $\frac{2}{15}$ to make the sum greater than $\frac{1}{2}$ be 'x'

So, $\frac{2}{15}+x \frac{1}{2}$

$x \frac{1}{2}-\frac{2}{15}$

LCM of 2 and 15 is 30.

$x\frac{15-4}{30}$

$x\frac{11}{30}$

So, the number is $\frac{11}{30}$

Question 5:

We have to identify the set of mixed numbers has a difference less than 1.

Set 1: $1 \frac{2}{9}$ and $1 \frac{1}{9}$

Difference = $1 \frac{2}{9}-1 \frac{1}{9}$

= $\frac{11}{9}- \frac{10}{9}$

= $\frac{1}{9}$

This set has difference less than 1.

Set 2:

$3 \frac{4}{7}$ and $2 \frac{1}{7}$

Difference = $3 \frac{4}{7}-2 \frac{1}{7}$

= $\frac{25}{7}- \frac{15}{7}$

= $\frac{10}{7}$

This set does'not have difference less than 1.

Set 3:

$2 \frac{4}{5}$ and $1 \frac{1}{3}$

Difference = $2 \frac{4}{5}-1 \frac{1}{3}$

= $\frac{14}{5}- \frac{4}{3}$

= $\frac{42-20}{15}$

= $\frac{22}{15}$

This set does'not have difference less than 1.

Set 4:

$2 \frac{7}{9}$ and $1 \frac{1}{3}$

Difference = $2 \frac{7}{9}-1 \frac{1}{3}$

= $\frac{25}{9}- \frac{4}{3}$

= $\frac{13}{9}$

This set does'not have difference less than 1.

Mathematics

Find the lcd of 3/5 and 1/6. a. 5b. 6c. 11d. 302. what is the difference between 3/7 and 1/14. a. 1 2b. 4/14c. 5/14d. 9/143. if sandy s cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of a cup, how much brown sugar does she use? a. 7/9 cupb. 5/9 cup c. 4/9 cupd. 1/9 cup4. what value could be added to 2/15 to make the sum greater than 1/2? a. 1/15b. 8/30c. 5/15d. 8/15 5. which set of mixed numbers has a difference less than 1? a. 1 2/9, 1 1/9b. 3 4/7, 2 1/7c. 2 4/5, 1 1/3d. 2 7/9, 1 1/3

Step-by-step answer

P Answered by Specialist

1

Question 1:

We have to find the LCD of $\frac{3}{5}$ and $\frac{1}{6}$

LCD is the least common denominator is the lowest common multiple of the denominators of a set of fractions.

Here the denominators are 5 and 6.

So, we will find the LCM of 5 and 6

5 = $5 \times 1$

6 = $2 \times 3$

LCM of 5 and 6 = $2 \times 3 \times 5$

= 30

Therefore, the LCD of these numbers is 30.

Question 2:

We have to find the difference between $\frac{3}{7}$ and $\frac{1}{14}$ .

Difference = $\frac{3}{7}- \frac{1}{14}$

LCM of 7 and 14 is 14

Therefore, difference = $\frac{6-1}{14}$

= $\frac{5}{14}$

Question 3:

Amount of brown sugar used by Sandy = $\frac{1}{3}$

Amount of sugar increased by Sandy = $\frac{2}{9}$

Total amount of Sugar used by Sandy = $\frac{1}{3}+\frac{2}{9}$

LCM of 3 and 9 is 9.

Total amount of Sugar used = $\frac{3+2}{9}$

= $\frac{5}{9}$ cup

Question 4:

Let the number which should be added to $\frac{2}{15}$ to make the sum greater than $\frac{1}{2}$ be 'x'

So, $\frac{2}{15}+x \frac{1}{2}$

$x \frac{1}{2}-\frac{2}{15}$

LCM of 2 and 15 is 30.

$x\frac{15-4}{30}$

$x\frac{11}{30}$

So, the number is $\frac{11}{30}$

Question 5:

We have to identify the set of mixed numbers has a difference less than 1.

Set 1: $1 \frac{2}{9}$ and $1 \frac{1}{9}$

Difference = $1 \frac{2}{9}-1 \frac{1}{9}$

= $\frac{11}{9}- \frac{10}{9}$

= $\frac{1}{9}$

This set has difference less than 1.

Set 2:

$3 \frac{4}{7}$ and $2 \frac{1}{7}$

Difference = $3 \frac{4}{7}-2 \frac{1}{7}$

= $\frac{25}{7}- \frac{15}{7}$

= $\frac{10}{7}$

This set does'not have difference less than 1.

Set 3:

$2 \frac{4}{5}$ and $1 \frac{1}{3}$

Difference = $2 \frac{4}{5}-1 \frac{1}{3}$

= $\frac{14}{5}- \frac{4}{3}$

= $\frac{42-20}{15}$

= $\frac{22}{15}$

This set does'not have difference less than 1.

Set 4:

$2 \frac{7}{9}$ and $1 \frac{1}{3}$

Difference = $2 \frac{7}{9}-1 \frac{1}{3}$

= $\frac{25}{9}- \frac{4}{3}$

= $\frac{13}{9}$

This set does'not have difference less than 1.

Mathematics

Question 4 (1 point) find the lcd of each fraction: 6/7 and 2/3 a. 7 b. 3 c. 21 d. 30 question 5 (1 point) find the lcd of each fraction: 7/8 and 1/4 a. 32 b. 8 c. 4 d. 24 question 6 (1 point) find the lcd of each fraction: 2/5 and 3/7 a. 35 b. 7 c. 5 d. 49 question 7 (1 point) find the lcd of each fraction: 1/9 and 2/4 a. 4 b. 7 c. 36 d. 9 question 8 (1 point) convert 2/7 into a fractions with a denominator of 28. a. 2/28 b. 8/28 c. 4/28 d. 6/28 question 9 (1 point) convert 3/5 into a fractions with a denominator of 15. a. 9/15 b. 3/15 c. 5/15

Step-by-step answer

P Answered by Specialist

4

4. C 21
5. B. 8
6. A. 35

8. B. 8/28
9. A. 9/15
10. D. 18/27

Mathematics

Question 4 (1 point) find the lcd of each fraction: 6/7 and 2/3 a. 7 b. 3 c. 21 d. 30 question 5 (1 point) find the lcd of each fraction: 7/8 and 1/4 a. 32 b. 8 c. 4 d. 24 question 6 (1 point) find the lcd of each fraction: 2/5 and 3/7 a. 35 b. 7 c. 5 d. 49 question 7 (1 point) find the lcd of each fraction: 1/9 and 2/4 a. 4 b. 7 c. 36 d. 9 question 8 (1 point) convert 2/7 into a fractions with a denominator of 28. a. 2/28 b. 8/28 c. 4/28 d. 6/28 question 9 (1 point) convert 3/5 into a fractions with a denominator of 15. a. 9/15 b. 3/15 c. 5/15

Step-by-step answer

P Answered by Master

4

4. C 21
5. B. 8
6. A. 35

8. B. 8/28
9. A. 9/15
10. D. 18/27

Mathematics

1.what’s the least common multiple (lcm) for each group of numbers? a. 6 and 15 b. 4 and 11 c. 6, 9, and 12 d. 8, 10, and 20 2.what’s the least common denominator (lcd) for each group of fractions? a. 1⁄6 and 7⁄8 b. 3⁄4 and 7⁄10 c. 7⁄12, 3⁄8 and 11⁄36 d. 8⁄15, 11⁄30 and 3⁄5 3.insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true. a. 18/36 1/2 b. 13/15 7/10 c. 3/5 5/9 d. 3/8 10/16 4.on a hot summer day, john drank 5⁄11 of a quart of iced tea; gary drank 7⁄10 of a quart; and carter drank 3⁄5 of a quart. which man was

Step-by-step answer

P Answered by PhD

7

c. 27⁄90

d. 63⁄77

e. 24⁄32

f. 73⁄365

7.What is the next fraction in each of the following patterns?

a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .?

b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .?

c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .?

8.In each pair, tell if the fractions are equal by using cross multiplication.

a. 5⁄30 and 1⁄6

b. 4⁄12 and 21⁄60

c. 17⁄34 and 41⁄82

d. 6⁄9 and 25⁄36

1.

a. 30

b. 44

c. 36

d. 40

2.

a. 24

b. 20

c. 4

d. 5

3.

a. =

b. not =

c. not =

d. not =

4. Gary

5.

a. 5/6

b. 5/12

c. 19/45

d. 13/14

e. 7/11

f. 1/2

6.

a. 2/3

b. 8/9

c. 3/10

d. 9/11

e. 3/4

f. 1/5

7.

a. 36/40

b.

c.

8.

a. yes

b. no

c. no

d. no

9. no

10. yes

11.

a. 40

b. 48

c. 77

d. 48

12. 4,620

Step-by-step explanation:

Mathematics

1.what’s the least common multiple (lcm) for each group of numbers? a. 6 and 15 b. 4 and 11 c. 6, 9, and 12 d. 8, 10, and 20 2.what’s the least common denominator (lcd) for each group of fractions? a. 1⁄6 and 7⁄8 b. 3⁄4 and 7⁄10 c. 7⁄12, 3⁄8 and 11⁄36 d. 8⁄15, 11⁄30 and 3⁄5 3.insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true. a. 18/36 1/2 b. 13/15 7/10 c. 3/5 5/9 d. 3/8 10/16 4.on a hot summer day, john drank 5⁄11 of a quart of iced tea; gary drank 7⁄10 of a quart; and carter drank 3⁄5 of a quart. which man was

Step-by-step answer

P Answered by PhD

7

c. 27⁄90

d. 63⁄77

e. 24⁄32

f. 73⁄365

7.What is the next fraction in each of the following patterns?

a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .?

b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .?

c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .?

8.In each pair, tell if the fractions are equal by using cross multiplication.

a. 5⁄30 and 1⁄6

b. 4⁄12 and 21⁄60

c. 17⁄34 and 41⁄82

d. 6⁄9 and 25⁄36

1.

a. 30

b. 44

c. 36

d. 40

2.

a. 24

b. 20

c. 4

d. 5

3.

a. =

b. not =

c. not =

d. not =

4. Gary

5.

a. 5/6

b. 5/12

c. 19/45

d. 13/14

e. 7/11

f. 1/2

6.

a. 2/3

b. 8/9

c. 3/10

d. 9/11

e. 3/4

f. 1/5

7.

a. 36/40

b.

c.

8.

a. yes

b. no

c. no

d. no

9. no

10. yes

11.

a. 40

b. 48

c. 77

d. 48

12. 4,620

Step-by-step explanation:

what’s the lcd of 6/7, 3/5, and 1/4

Faq

Try asking the Studen AI a question.