Sam needs
5_
6
cup mashed bananas and
3_
4
cup mashed
strawberries for a recipe. He wants to find whether he needs
more bananas or more strawberries. How can he write 5_
6
and
3_
4
as a pair of fractions with a common denominator?

Respuesta :

Answer:

He needs more bananas. ([tex]\frac{10}{12}+\frac{9}{12}[/tex])

Step-by-step explanation:

Find the least common multiple for both denominators.

For 6 and 4 in the denominators, their L.C.M is 12.

Cup of mashed bananas:

Multiply both the numerator and denominator by 2.

[tex]\frac{5}{6} = \frac{10}{12}[/tex]

Cup of mashed strawberries:

Multiply both the numerator and denominator by 3.

[tex]\frac{3}{4} = \frac{9}{12}[/tex]

Since the denominators are now the same, we can compare them in the same ratio.

[tex]\frac{10}{12} > \frac{9}{12}[/tex]

Therefore he needs [tex]\frac{1}{12}[/tex] more mashed bananas than mashed strawberries.