Question

subtract by finding equivalent fractions. enter your answers.
\\(\frac{5}{7} = \frac{?}{21}\\)
\\(-\frac{1}{3} = \frac{?}{21}\\)
\\(\frac{?}{21}\\)

Explanation:

Step1: Find equivalent for $\frac{5}{7}$

To get denominator 21, multiply numerator and denominator by 3:
$\frac{5}{7} = \frac{5 \times 3}{7 \times 3} = \frac{15}{21}$

Step2: Find equivalent for $-\frac{1}{3}$

To get denominator 21, multiply numerator and denominator by 7:
$-\frac{1}{3} = \frac{-1 \times 7}{3 \times 7} = \frac{-7}{21}$

Step3: Subtract the two fractions

Subtract numerators over common denominator:
$\frac{15}{21} + \frac{-7}{21} = \frac{15 - 7}{21} = \frac{8}{21}$

Answer:

First box: 15, Second box: -7, Final box: 8