What is 98/70 Divided By 9/8

Solving $\frac{98}{70}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{70} \div \frac{9}{8} = \frac{98}{70} \times \frac{8}{9}$

• Multiply the Numerators: $98 \times 8 = 784$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{98}{70} \times \frac{9}{8} = \frac{784}{630}$

Let's Simplify $\frac{784}{630}$

• Find the Greatest Common Divisor (GCD) of $784$ and $630$. The GCD of $784$ and $630$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{784 \div 14}{630 \div 14} = \frac{56}{45}$

Answer $\frac{98}{70}\div\frac{9}{8} = \frac{56}{45}$

The following animation demonstrates the divide-by,