What is 62/35 Divided By 4/7

Solving $\frac{62}{35}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{62}{35} \div \frac{4}{7} = \frac{62}{35} \times \frac{7}{4}$

• Multiply the Numerators: $62 \times 7 = 434$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{62}{35} \times \frac{4}{7} = \frac{434}{140}$

Let's Simplify $\frac{434}{140}$

• Find the Greatest Common Divisor (GCD) of $434$ and $140$. The GCD of $434$ and $140$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{434 \div 14}{140 \div 14} = \frac{31}{10}$

Answer $\frac{62}{35}\div\frac{4}{7} = \frac{31}{10}$

The following animation demonstrates the divide-by,