Question

Esmerelda and Brittany are at the library working on their algebra homework. Esmerelda is 7/9 done with her homework, and Brittany is 31/36 done with the same work. They want to compare these fractions to know who is closer to being done, but they know they cannot compare the fractions until they have the same denominator. What are these two fractions rewritten with a common denominator?

Answer 1

7/9= 28/36

28/36 < 31/36

(7/9 < 31/36)

Answer 2

Answer: The two fractions with a common denominator would be

$\dfrac{28}{36}\ and\ \dfrac{31}{36}$

Step-by-step explanation:

Since we have given that

Part of work done by Esmerelda with her homework = $\dfrac{7}{9}$

Part of work done by Brittany with her homework = $\dfrac{31}{36}$

We need to rewritten with common denominator.

As we know that

L.C.M. of 9 and 36 = 36

So, $\dfrac{7}{9}$ can be rewritten as

$\dfrac{7\times 4}{9\times 4}=\dfrac{28}{36}$

and other fraction is already written with denominator 36.

So, the two fractions with a common denominator would be

$\dfrac{28}{36}\ and\ \dfrac{31}{36}$