What is 70/38 Divided By 4/6

Solving $\frac{70}{38}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{38} \div \frac{4}{6} = \frac{70}{38} \times \frac{6}{4}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{70}{38} \times \frac{4}{6} = \frac{420}{152}$

Let's Simplify $\frac{420}{152}$

• Find the Greatest Common Divisor (GCD) of $420$ and $152$. The GCD of $420$ and $152$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 4}{152 \div 4} = \frac{105}{38}$

Answer $\frac{70}{38}\div\frac{4}{6} = \frac{105}{38}$

The following animation demonstrates the divide-by,