What is 70/83 Divided By 7/6

Solving $\frac{70}{83}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{83} \div \frac{7}{6} = \frac{70}{83} \times \frac{6}{7}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $83 \times 7 = 581$
• Form the New Fraction: $\frac{70}{83} \times \frac{7}{6} = \frac{420}{581}$

Let's Simplify $\frac{420}{581}$

• Find the Greatest Common Divisor (GCD) of $420$ and $581$. The GCD of $420$ and $581$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 7}{581 \div 7} = \frac{60}{83}$

Answer $\frac{70}{83}\div\frac{7}{6} = \frac{60}{83}$

The following animation demonstrates the divide-by,