What is 95/35 Divided By 4/7

Solving $\frac{95}{35}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{35} \div \frac{4}{7} = \frac{95}{35} \times \frac{7}{4}$

• Multiply the Numerators: $95 \times 7 = 665$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{95}{35} \times \frac{4}{7} = \frac{665}{140}$

Let's Simplify $\frac{665}{140}$

• Find the Greatest Common Divisor (GCD) of $665$ and $140$. The GCD of $665$ and $140$ is $35$.
• Divide both the numerator and the denominator by the GCD:$\frac{665 \div 35}{140 \div 35} = \frac{19}{4}$

Answer $\frac{95}{35}\div\frac{4}{7} = \frac{19}{4}$

The following animation demonstrates the divide-by,