What is 70/19 Divided By 8/6

Solving $\frac{70}{19}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{19} \div \frac{8}{6} = \frac{70}{19} \times \frac{6}{8}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $19 \times 8 = 152$
• Form the New Fraction: $\frac{70}{19} \times \frac{8}{6} = \frac{420}{152}$

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 $\frac{70}{19}\div\frac{8}{6} = \frac{105}{38}$

The following animation demonstrates the divide-by,