What is 95/38 Divided By 4/6

Solving $\frac{95}{38}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{38} \div \frac{4}{6} = \frac{95}{38} \times \frac{6}{4}$

• Multiply the Numerators: $95 \times 6 = 570$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{95}{38} \times \frac{4}{6} = \frac{570}{152}$

Let's Simplify $\frac{570}{152}$

• Find the Greatest Common Divisor (GCD) of $570$ and $152$. The GCD of $570$ and $152$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{570 \div 38}{152 \div 38} = \frac{15}{4}$

Answer $\frac{95}{38}\div\frac{4}{6} = \frac{15}{4}$

The following animation demonstrates the divide-by,