Question

1. \\(\frac{7}{8} - \frac{2}{6} =\\)

\\(= \underline{quadquad} - \underline{quadquad}\\)
\\(= \underline{quadquad}\\)

Explanation:

Step1: Find a common denominator

The denominators are 8 and 6. The least common multiple of 8 and 6 is 24. Convert \(\frac{7}{8}\) and \(\frac{2}{6}\) to fractions with denominator 24.
\(\frac{7}{8}=\frac{7\times3}{8\times3}=\frac{21}{24}\)
\(\frac{2}{6}=\frac{2\times4}{6\times4}=\frac{8}{24}\)

Step2: Subtract the fractions

Now subtract the two fractions: \(\frac{21}{24}-\frac{8}{24}=\frac{21 - 8}{24}=\frac{13}{24}\)

Answer:

\(\frac{7}{8}-\frac{2}{6}=\frac{21}{24}-\frac{8}{24}=\frac{13}{24}\)
So the blanks are filled as \(\frac{21}{24}\), \(\frac{8}{24}\), and \(\frac{13}{24}\) respectively.