Respuesta :

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 [tex] 56 [/tex] into [tex] 40 [/tex] and [tex] 16 [/tex]

[tex] \frac{56}{4} =\frac{(40+16)}{4} \\ \\ =\frac{40}{4} +\frac{16}{4} \\ \\ =10+4\\ \\ =14 [/tex]

For this case we have the following division:

[tex] \frac{56}{4} [/tex]

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

We have then:

[tex] \frac{56}{4} = \frac{1}{4}(52 + 4) [/tex]

Then, applying the distributive property we have:

[tex] \frac{56}{4} = \frac{52}{4} + \frac{4}{4} [/tex]

Finally, rewriting both fractions and adding, we have:

[tex] \frac{56}{4} = 13 + 1 [/tex]

[tex] \frac{56}{4} = 14 [/tex]

Answer:

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

[tex] \frac{56}{4} = \frac{1}{4}(52+4) [/tex]