What is 46/52 Divided By 8/7

Solving $\frac{46}{52}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{52} \div \frac{8}{7} = \frac{46}{52} \times \frac{7}{8}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{46}{52} \times \frac{8}{7} = \frac{322}{416}$

Let's Simplify $\frac{322}{416}$

• Find the Greatest Common Divisor (GCD) of $322$ and $416$. The GCD of $322$ and $416$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{416 \div 2} = \frac{161}{208}$

Answer $\frac{46}{52}\div\frac{8}{7} = \frac{161}{208}$

The following animation demonstrates the divide-by,