What is 95/38 Divided By 4/7

Solving $\frac{95}{38}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{38} \div \frac{4}{7} = \frac{95}{38} \times \frac{7}{4}$

• Multiply the Numerators: $95 \times 7 = 665$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{95}{38} \times \frac{4}{7} = \frac{665}{152}$

Let's Simplify $\frac{665}{152}$

• Find the Greatest Common Divisor (GCD) of $665$ and $152$. The GCD of $665$ and $152$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{665 \div 19}{152 \div 19} = \frac{35}{8}$

Answer $\frac{95}{38}\div\frac{4}{7} = \frac{35}{8}$

The following animation demonstrates the divide-by,