What is 26/74 Divided By 5/9

Solving $\frac{26}{74}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{74} \div \frac{5}{9} = \frac{26}{74} \times \frac{9}{5}$

• Multiply the Numerators: $26 \times 9 = 234$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{26}{74} \times \frac{5}{9} = \frac{234}{370}$

Let's Simplify $\frac{234}{370}$

• Find the Greatest Common Divisor (GCD) of $234$ and $370$. The GCD of $234$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{234 \div 2}{370 \div 2} = \frac{117}{185}$

Answer $\frac{26}{74}\div\frac{5}{9} = \frac{117}{185}$

The following animation demonstrates the divide-by,