What is 26/52 Divided By 7/8

Solving $\frac{26}{52}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{52} \div \frac{7}{8} = \frac{26}{52} \times \frac{8}{7}$

• Multiply the Numerators: $26 \times 8 = 208$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{26}{52} \times \frac{7}{8} = \frac{208}{364}$

Let's Simplify $\frac{208}{364}$

• Find the Greatest Common Divisor (GCD) of $208$ and $364$. The GCD of $208$ and $364$ is $52$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 52}{364 \div 52} = \frac{4}{7}$

Answer $\frac{26}{52}\div\frac{7}{8} = \frac{4}{7}$

The following animation demonstrates the divide-by,