What is 53/46 Divided By 7/8

Solving $\frac{53}{46}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{46} \div \frac{7}{8} = \frac{53}{46} \times \frac{8}{7}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $46 \times 7 = 322$
• Form the New Fraction: $\frac{53}{46} \times \frac{7}{8} = \frac{424}{322}$

Let's Simplify $\frac{424}{322}$

• Find the Greatest Common Divisor (GCD) of $424$ and $322$. The GCD of $424$ and $322$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{424 \div 2}{322 \div 2} = \frac{212}{161}$

Answer $\frac{53}{46}\div\frac{7}{8} = \frac{212}{161}$

The following animation demonstrates the divide-by,