What is 70/11 Divided By 6/8

Solving $\frac{70}{11}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{11} \div \frac{6}{8} = \frac{70}{11} \times \frac{8}{6}$

• Multiply the Numerators: $70 \times 8 = 560$
• Multiply the Denominators: $11 \times 6 = 66$
• Form the New Fraction: $\frac{70}{11} \times \frac{6}{8} = \frac{560}{66}$

Let's Simplify $\frac{560}{66}$

• Find the Greatest Common Divisor (GCD) of $560$ and $66$. The GCD of $560$ and $66$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{560 \div 2}{66 \div 2} = \frac{280}{33}$

Answer $\frac{70}{11}\div\frac{6}{8} = \frac{280}{33}$

The following animation demonstrates the divide-by,