Mathematics : asked on 911wgarcia

05.09.2020

Can anybody explain how to subtract mixed fractions?

2

Step-by-step answer

09.07.2023, solved by verified expert

Chemistry, Q&A Expert, I am a Assistant Professor in Maharaj Singh College Saharanpur, Uttar Pradesh, India

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convert the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.if the denominators are not the same, work out the common denominator and rewrite the fractions with the same denominatorssubtract by subtracting the numerators and writing the result over the denominatorconvert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

convert to improper fractions:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

common denominator = 3 × 5 = 15, so:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

subtract:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

convert back to mixed fractions:

$Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

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Chemistry, Q&A Expert, I am a Assistant Professor in Maharaj Singh College Saharanpur, Uttar Pradesh, India

23 047 answers

Unlock the full answer

How do we subtract mixed fractions?

To subtract mixed fractions, we must follow the steps:

Convert the mixed fraction to improper fraction.

2. Multiply the denominator and the numerator by the LCM of the denominators to make the denominators same. P.S: (If the denominators are the same, you can skip this step).

3. Simplify the fractions. (The denominators do not change).

4. (Optional) Convert the fractions to mixed fraction.

Solving an example:

Let's take an example.

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-1: Convert the fractions to improper fraction:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-2: Make the denominators same:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-3: Subtract:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

Step-4: Convert the fraction to mixed fraction:

⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$ ⇒ $Can anybody explain how to subtract mixed fractions?, №18010442, 05.09.2020 07:50$

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Faq

Mathematics

Can anybody explain how to subtract mixed fractions?

Step-by-step answer

P Answered by Specialist

convert the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.if the denominators are not the same, work out the common denominator and rewrite the fractions with the same denominatorssubtract by subtracting the numerators and writing the result over the denominatorconvert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.

Example

$3\frac23-1\frac45$

convert to improper fractions:

$\dfrac{3 \times 3+2}{3}-\dfrac{1 \times 5+4}{5}=\dfrac{11}{3}-\dfrac{9}{5}$

common denominator = 3 × 5 = 15, so:

$\dfrac{11}{3}-\dfrac{9}{5}=\dfrac{11\times 5}{3\times 5}-\dfrac{9\times 3}{5\times 3}=\dfrac{55}{15}-\dfrac{27}{15}$

subtract:

$\dfrac{55}{15}-\dfrac{27}{15}=\dfrac{55-27}{15}=\dfrac{28}{15}$

convert back to mixed fractions:

$28 \div 15=1 \textsf{ remainder }13=1 \frac{13}{15}$

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Mathematics

Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

Mathematics, 26.03.2020 20:52, mohammadhosseinkarim David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

Nick received an 82.5% on his math test. How many questions did he get right if there were a total of 40?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height. Round your answer to the nearest whole number.

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Determine the area of a rectangle with length of 12.4 cm and a width of 8.8 cm.

Step-by-step answer

P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics

If a rectangular prism has a length, width ,and height of 3/8 centimeter,5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ?

Step-by-step answer

P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

=105/512 cm3

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