What is 53/70 Divided By 4/7

Solving $\frac{53}{70}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{70} \div \frac{4}{7} = \frac{53}{70} \times \frac{7}{4}$

• Multiply the Numerators: $53 \times 7 = 371$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{53}{70} \times \frac{4}{7} = \frac{371}{280}$

Let's Simplify $\frac{371}{280}$

• Find the Greatest Common Divisor (GCD) of $371$ and $280$. The GCD of $371$ and $280$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{371 \div 7}{280 \div 7} = \frac{53}{40}$

Answer $\frac{53}{70}\div\frac{4}{7} = \frac{53}{40}$

The following animation demonstrates the divide-by,