What is 24/26 Divided By 5/8

Solving $\frac{24}{26}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{26} \div \frac{5}{8} = \frac{24}{26} \times \frac{8}{5}$

• Multiply the Numerators: $24 \times 8 = 192$
• Multiply the Denominators: $26 \times 5 = 130$
• Form the New Fraction: $\frac{24}{26} \times \frac{5}{8} = \frac{192}{130}$

Let's Simplify $\frac{192}{130}$

• Find the Greatest Common Divisor (GCD) of $192$ and $130$. The GCD of $192$ and $130$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{192 \div 2}{130 \div 2} = \frac{96}{65}$

Answer $\frac{24}{26}\div\frac{5}{8} = \frac{96}{65}$

The following animation demonstrates the divide-by,