Mathematics : asked on lolll52

02.07.2020

Do you have to have a common denominator to subtract to solve this problem?

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Mathematics

why is it important to have a common denominator when we add or subtract fractions?

Step-by-step answer

P Answered by PhD

It's impossible not to.

Step-by-step explanation:

You can not add or subtract fractions without common denominators. Whether you do it mentally or on paper, the only way to add or subtract fractions is to find the LCD.

Mathematics

Why do fractions need to have a common denominator before you add or subtract them?

Step-by-step answer

P Answered by PhD

The denominator of a fraction tells you the relative size of the pieces. For instance, 1/2 is bigger than 1/4 because it only takes 2 pieces to make a whole, as opposed to 4 pieces to make a whole. One might connect the need for a common denominator to the need for having common units before adding or subtracting (you wouldn't add 12 inches to 12 feet and get 24 for an answer). Therefore, the reason fractions need a common denominator before adding or subtracting is so that the number of pieces you are adding/subtracting are all the same size. By the way, the numerator of a fraction just tells you how many pieces you have of that size.

Mathematics

Fractions must have a common denominator in order to subtract them. truefalse

Step-by-step answer

P Answered by PhD

The answer is: True.

The numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.

To substract fractions, they must have a common denominator. There is two cases:

1. When the fractions have the same denominator, you just have to rewrite the denominator and substract the numerators. For example:

8/3-1/3=(8-1)/3=7/3

2. When the fractions have different denominators, you must calculate the Least commom multiple (LCM):

5/2-3/4

L.C.M.=2²=4

(10-3)/4=7/4

Mathematics

Why do fractions need to have a common denominator before you add or subtract them?

Step-by-step answer

P Answered by Master

Fractions need common denominator to add or subtract them because without denominators a fraction is not a fraction, it is a whole number
Example - 2/8 is a fraction
but 2 is not a fraction

Mathematics

why is it important to have a common denominator when we add or subtract fractions?

Step-by-step answer

P Answered by PhD

It's impossible not to.

Step-by-step explanation:

You can not add or subtract fractions without common denominators. Whether you do it mentally or on paper, the only way to add or subtract fractions is to find the LCD.

Mathematics

To subtract two rational expressions that have a common denominator, you simply the numerators.

Step-by-step answer

P Answered by PhD

The answer is subtract.

For example:

$\frac{3x^2 - 3}{x+2} - \frac{x^2+6}{x+2}$

$\frac{3x^2 - 3-x^2-6}{x+2}$

$\frac{2x^2-9}{x+2}$

Mathematics

Why do fractions need to have a common denominator before you add or subtract them?

Step-by-step answer

P Answered by Master

Fractions need common denominator to add or subtract them because without denominators a fraction is not a fraction, it is a whole number
Example - 2/8 is a fraction
but 2 is not a fraction

Mathematics

Why do fractions need to have a common denominator before you add or subtract them? best answer i’ll mark as brainliest

Step-by-step answer

P Answered by Master

It’s so that the number of the pieces that you add or subtract is all the same size

Mathematics

George says that, to subtract fractions with different denominators, you always have to multiply the denominators to find the common unit; for example: 3/8 - 1/6 = 18/48 - 8/48 show george how he could have chosen a denominator smaller than 48, and solve the problem.

Step-by-step answer

P Answered by PhD

$\frac{5}{24}$

Step-by-step explanation:

We have been given an equation solved by George. We are asked to solve the problem by choosing a denominator smaller than 48.

$\frac{3}{8}-\frac{1}{6}$

To subtract to fraction with different denominators, we need to make a common denominator.

The common denominator would be the least common multiple of both denominators.

In our given problem, we can see that the numbers in denominators are 8 and 6.

Let us find LCM of 8 and 6:

Multiples of 8: 8, 16, 24, 32, 40,...

Multiples of 6: 6, 12, 18, 24, 30,...

We can see that LCM of 8 and 6 is 24.

Let us solve our given problem by making a common denominator:

$\frac{3*3}{8*3}-\frac{1*4}{6*4}$

$\frac{9}{24}-\frac{4}{24}$

Combine numerators:

$\frac{9-4}{24}$

$\frac{5}{24}$

Therefore, the answer for our given problem would be $\frac{5}{24}$ .

Mathematics

Step-by-step answer

P Answered by PhD

$\frac{5}{24}$

Step-by-step explanation:

We have been given an equation solved by George. We are asked to solve the problem by choosing a denominator smaller than 48.

$\frac{3}{8}-\frac{1}{6}$

To subtract to fraction with different denominators, we need to make a common denominator.

The common denominator would be the least common multiple of both denominators.

In our given problem, we can see that the numbers in denominators are 8 and 6.

Let us find LCM of 8 and 6:

Multiples of 8: 8, 16, 24, 32, 40,...

Multiples of 6: 6, 12, 18, 24, 30,...

We can see that LCM of 8 and 6 is 24.

Let us solve our given problem by making a common denominator:

$\frac{3*3}{8*3}-\frac{1*4}{6*4}$

$\frac{9}{24}-\frac{4}{24}$

Combine numerators:

$\frac{9-4}{24}$

$\frac{5}{24}$

Therefore, the answer for our given problem would be $\frac{5}{24}$ .

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