What is 53/70 Divided By 4/5

Solving $\frac{53}{70}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{70} \div \frac{4}{5} = \frac{53}{70} \times \frac{5}{4}$

• Multiply the Numerators: $53 \times 5 = 265$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{53}{70} \times \frac{4}{5} = \frac{265}{280}$

Let's Simplify $\frac{265}{280}$

• Find the Greatest Common Divisor (GCD) of $265$ and $280$. The GCD of $265$ and $280$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{265 \div 5}{280 \div 5} = \frac{53}{56}$

Answer $\frac{53}{70}\div\frac{4}{5} = \frac{53}{56}$

The following animation demonstrates the divide-by,