Respuesta :

See the explanation

Explanation:

This exercise involves operation using fraction. So here we have a subtraction of the following form:

[tex]\frac{a}{b}-\frac{c}{b}[/tex]

When we have the sum or subtraction of two fractions and they they have the same denominator, we set the denominator in a new fraction and perform the operation for the numerators. In other words:

[tex]\frac{1}{8}-\frac{7}{8}=\frac{1-7}{8}=-\frac{6}{8}=-\frac{3}{4}[/tex]

So we need to find an addition problem which is equivalent to that fraction, so:

[tex]\frac{a}{b}+\frac{c}{b}=-\frac{3}{4} \\ \\ \bullet \ b=4 \\ \\ \bullet \ a+c=-3 \\ \\ Setting \ a=5 \ then \ c=-3-5 \therefore c=-8[/tex]

So our addition problem becomes:

[tex]\frac{1}{8}-\frac{7}{8} \ is \ equivalent \ to \ \frac{5}{4}+(-\frac{8}{4})[/tex]

Learn more:

Fractions and decimals: https://brainly.com/question/605571

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