What is 26/91 Divided By 5/8

Solving $\frac{26}{91}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{91} \div \frac{5}{8} = \frac{26}{91} \times \frac{8}{5}$

• Multiply the Numerators: $26 \times 8 = 208$
• Multiply the Denominators: $91 \times 5 = 455$
• Form the New Fraction: $\frac{26}{91} \times \frac{5}{8} = \frac{208}{455}$

Let's Simplify $\frac{208}{455}$

• Find the Greatest Common Divisor (GCD) of $208$ and $455$. The GCD of $208$ and $455$ is $13$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 13}{455 \div 13} = \frac{16}{35}$

Answer $\frac{26}{91}\div\frac{5}{8} = \frac{16}{35}$

The following animation demonstrates the divide-by,