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we have two fractions, 5/8 and 5/4, and we want to rewrite them so that they have a common denominator (and whole number numerators).

choose two answers

a.) 20
b.) 16
c.) 8
d.) 4​

Respuesta :

Answer:

Options b) and c) are correct

Step-by-step explanation:

Given: fractions are [tex]\frac{5}{8},\frac{5}{4}[/tex]

To find: the common denominator

Solution:

Multiply both numerator and denominator of [tex]\frac{5}{4}[/tex] by 2

[tex]\frac{5}{4}=\frac{5(2)}{4(2)}=\frac{10}{8}[/tex]

So, [tex]\frac{5}{8},\frac{10}{8}[/tex] have same denominator 8.

Now multiply numerator and denominator of [tex]\frac{5}{8}[/tex] by 2, [tex]\frac{5}{8}=\frac{5(2)}{8(2)}=\frac{10}{16}[/tex]

Now multiply numerator and denominator of [tex]\frac{5}{4}[/tex] by 4, [tex]\frac{5}{4}=\frac{5(4)}{4(4)}=\frac{20}{16}[/tex]

So, [tex]\frac{5}{8},\frac{10}{8}[/tex] have same denominator 16.

Hence, options b) and c) are correct

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