What is 52/35 Divided By 4/7

Solving $\frac{52}{35}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{35} \div \frac{4}{7} = \frac{52}{35} \times \frac{7}{4}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{52}{35} \times \frac{4}{7} = \frac{364}{140}$

Let's Simplify $\frac{364}{140}$

• Find the Greatest Common Divisor (GCD) of $364$ and $140$. The GCD of $364$ and $140$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 28}{140 \div 28} = \frac{13}{5}$

Answer $\frac{52}{35}\div\frac{4}{7} = \frac{13}{5}$

The following animation demonstrates the divide-by,