What is 26/85 Divided By 8/9

Solving $\frac{26}{85}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{85} \div \frac{8}{9} = \frac{26}{85} \times \frac{9}{8}$

• Multiply the Numerators: $26 \times 9 = 234$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{26}{85} \times \frac{8}{9} = \frac{234}{680}$

Let's Simplify $\frac{234}{680}$

• Find the Greatest Common Divisor (GCD) of $234$ and $680$. The GCD of $234$ and $680$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{234 \div 2}{680 \div 2} = \frac{117}{340}$

Answer $\frac{26}{85}\div\frac{8}{9} = \frac{117}{340}$

The following animation demonstrates the divide-by,