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]