For a fruit salad recipe, Jenna combined 3/8 cup of raisins, 7/8 cup of oranges, and 3/4 cup of apples. about how many cups of fruit are in the salad? step by step please!

2 cups

Step-by-step explanation:

First:

3/8 and 7/8 have the same denominator so you can just add the numerator and the denominator stays the same, it will look like

3/8 + 7/8 =

3+7= 11

10/8

simplify by dividing by 2

5/4

Second:

5/4 has the same denominator as 3/4 so you can go through the same adding process to get

8/4

divide by 2 to simplify

4/2

divide by 2 again

2/1

and 1 goes into 2 twice

so about 2 cups of fruit were added

16/8 or 2

Step-by-step explanation:

find a common denominator which will be 8

we don't need to change anything about 3/8 and 7/8 because their denominators are already  8

change the denominator for 3/4

to get to 8, we need to multiply 4 by 2

and if we do something on the bottom, we gotta do the same thing to the top so multiply 3 by 2 which is 6 = 6/8

now we gotta add them together

3/8 + 7/8 + 6/8 = 16/8

now change it to mixed number or whole which is 2

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

3 is greater then both of those numbers