What is 52/98 Divided By 7/8

Solving $\frac{52}{98}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{98} \div \frac{7}{8} = \frac{52}{98} \times \frac{8}{7}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $98 \times 7 = 686$
• Form the New Fraction: $\frac{52}{98} \times \frac{7}{8} = \frac{416}{686}$

Let's Simplify $\frac{416}{686}$

• Find the Greatest Common Divisor (GCD) of $416$ and $686$. The GCD of $416$ and $686$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{416 \div 2}{686 \div 2} = \frac{208}{343}$

Answer $\frac{52}{98}\div\frac{7}{8} = \frac{208}{343}$

The following animation demonstrates the divide-by,