What is 61/18 Divided By 7/9

Solving $\frac{61}{18}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{18} \div \frac{7}{9} = \frac{61}{18} \times \frac{9}{7}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $18 \times 7 = 126$
• Form the New Fraction: $\frac{61}{18} \times \frac{7}{9} = \frac{549}{126}$

Let's Simplify $\frac{549}{126}$

• Find the Greatest Common Divisor (GCD) of $549$ and $126$. The GCD of $549$ and $126$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{549 \div 9}{126 \div 9} = \frac{61}{14}$

Answer $\frac{61}{18}\div\frac{7}{9} = \frac{61}{14}$

The following animation demonstrates the divide-by,