Question

Kalvin and 4 of his friends want to share 4 pounds of peanut butter equally. Write an expression to show what fraction of the peanut butter each friend should receive. Then write 2 equivalent fractions for this amount. (put a space and a comma to show the equivalent fractions

Answer 1

Each friend should receive
`(4)/(5)` pounds, two equivalent fractions =
`(8)/(10) \ pounds` ,
`(12)/(15) \ pounds`

Explanation:

Given:

Kalvin and 4 of his friends want to share 4 pounds of peanut butter equally.

Question asked:

Write an expression to show what fraction of the peanut butter each friend should receive. Then write 2 equivalent fractions for this amount.

Solution:

Kalvin and 4 of his friends that means there are total 5 persons:

By unitary method:

5 friends receive amount of peanut butter in pound = 4

1 friend receives amount of peanut butter in pound =
`(4)/(5)`

Thus, each friend should receive
`(4)/(5)` pound of the peanut butter.

Now, we will find two equivalent fractions for this amount:-

Multiplying both numerator and denominator by 2

`(4*2)/(5*2) =(8)/(10)`

Multiplying both numerator and denominator by 3

`(4*3)/(5*3) =(12)/(15)`

Thus, two equivalent fractions for this amount are
`(8)/(10) \ pounds` ,
`(12)/(15) \ pounds`.