What is 52/70 Divided By 4/6

Solving $\frac{52}{70}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{70} \div \frac{4}{6} = \frac{52}{70} \times \frac{6}{4}$

• Multiply the Numerators: $52 \times 6 = 312$
• Multiply the Denominators: $70 \times 4 = 280$
• Form the New Fraction: $\frac{52}{70} \times \frac{4}{6} = \frac{312}{280}$

Let's Simplify $\frac{312}{280}$

• Find the Greatest Common Divisor (GCD) of $312$ and $280$. The GCD of $312$ and $280$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{312 \div 8}{280 \div 8} = \frac{39}{35}$

Answer $\frac{52}{70}\div\frac{4}{6} = \frac{39}{35}$

The following animation demonstrates the divide-by,