Verified Answer :

we know that

The distributive property for division basically means you can split your quantity up into smaller chunks that are easier to divide

so

let’s split \(56\) into \(40\) and \(16\)

\(\frac{56}{4} =\frac{(40+16)}{4} \\ \\ =\frac{40}{4} +\frac{16}{4} \\ \\ =10+4\\ \\ =14\)

For this case we have the following division:

\(\frac{56}{4}\)

To make the distributive property, we can rewrite the numerator of the fraction as the sum of two numbers.

We have then:

\(\frac{56}{4} = \frac{1}{4}(52 + 4)\)

Then, applying the distributive property we have:

\(\frac{56}{4} = \frac{52}{4} + \frac{4}{4}\)

Finally, rewriting both fractions and adding, we have:

\(\frac{56}{4} = 13 + 1\)

\(\frac{56}{4} = 14\)

Answer:

One way to rewrite the problem to use the distributive property is:

\(\frac{56}{4} = \frac{1}{4}(52+4)\)