What is 98/63 Divided By 7/8

Solving $\frac{98}{63}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{63} \div \frac{7}{8} = \frac{98}{63} \times \frac{8}{7}$

• Multiply the Numerators: $98 \times 8 = 784$
• Multiply the Denominators: $63 \times 7 = 441$
• Form the New Fraction: $\frac{98}{63} \times \frac{7}{8} = \frac{784}{441}$

Let's Simplify $\frac{784}{441}$

• Find the Greatest Common Divisor (GCD) of $784$ and $441$. The GCD of $784$ and $441$ is $49$.
• Divide both the numerator and the denominator by the GCD:$\frac{784 \div 49}{441 \div 49} = \frac{16}{9}$

Answer $\frac{98}{63}\div\frac{7}{8} = \frac{16}{9}$

The following animation demonstrates the divide-by,