Linda needs 6/9 cup of strawberries and 3/4 cup mashed peach for a recipe. She wants to find whether she needs more peaches or strawberries. How can you write 6/9 and 3/4 as a pair of fractions with a common denominator?

Respuesta :

Answer: Smashed Peach i.e.  [tex]\dfrac{27}{36}[/tex]

Step-by-step explanation:

Given

Linda needs [tex]\frac{6}{9}[/tex] cup of strawberries

and [tex]\frac{3}{4}[/tex] cup of mashed peach for a recipe

For two fractions to have the same denominator, take L.C.M. of the denominator

[tex]\Rightarrow \text{L.C.M.(4,9)}=36[/tex]

[tex]\therefore \dfrac{6}{9}=\dfrac{6\times 4}{36}=\dfrac{24}{36}\\\\\Rightarrow \dfrac{3}{4}=\dfrac{3\times 7}{36}=\dfrac{27}{36}[/tex]

Therefore, she needs more mashed peach for the recipe.