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

Answer:

Each friend should receive $\frac{4}{5}$ pounds,  two equivalent fractions = $\frac{8}{10} \ pounds$ ,  $\frac{12}{15} \ pounds$

Step-by-step 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 = $\frac{4}{5}$

Thus, each friend should receive  $\frac{4}{5}$ pound of the peanut butter.

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

Multiplying both numerator and denominator by 2

$\frac{4\times2}{5\times2} =\frac{8}{10}$

Multiplying both numerator and denominator by 3

$\frac{4\times3}{5\times3} =\frac{12}{15}$

Thus, two equivalent fractions for this amount are $\frac{8}{10} \ pounds$ ,  $\frac{12}{15} \ pounds$.