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

He needs more strawberries than banana.

Step-by-step explanation:

Since we have given that

Number of cups of mashed bananas is given by

Number of cups of mashed strawberries is given by

We need to find whether he needs more bananas or more strawberries.

For this we need a common denominator.

1) Taking L.C.M.  of denominator :

L.C.M. OF 6  and 4 = 12

2) Make the common denominator i.e. 12 for both the fractions.

so, we can see that

He needs more strawberries than banana.

15/8

Step-by-step explanation:

Please use the letter " x " here instead of the multiplication operator " × ."

Your 1/2× +3/2(×+1)-1/4=5 is best written as

(1/2)x +(3/2)(x + 1) - (1/4) = 5

Perform the indicated multiplication.  We get:

(1/2)x +(3/2)x  + 3/2) - (1/4) = 5

The first two terms combine to yield 2x, so that the equation is now

2x + 3/2 - 1/4 = 5

The LCD is 4.  Multiplying all terms by 4, we get:

8x + 6 - 1 = 20, or 8x + 5 = 20.

Simplifying this further, we get 8x = 15, so that

x = 15/8