What is 61/18 Divided By 5/9

Solving $\frac{61}{18}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{18} \div \frac{5}{9} = \frac{61}{18} \times \frac{9}{5}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $18 \times 5 = 90$
• Form the New Fraction: $\frac{61}{18} \times \frac{5}{9} = \frac{549}{90}$

Let's Simplify $\frac{549}{90}$

• Find the Greatest Common Divisor (GCD) of $549$ and $90$. The GCD of $549$ and $90$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{549 \div 9}{90 \div 9} = \frac{61}{10}$

Answer $\frac{61}{18}\div\frac{5}{9} = \frac{61}{10}$

The following animation demonstrates the divide-by,