What is 70/75 Divided By 8/9

Solving $\frac{70}{75}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{8}{9} = \frac{70}{75} \times \frac{9}{8}$

• Multiply the Numerators: $70 \times 9 = 630$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{70}{75} \times \frac{8}{9} = \frac{630}{600}$

Let's Simplify $\frac{630}{600}$

• Find the Greatest Common Divisor (GCD) of $630$ and $600$. The GCD of $630$ and $600$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{630 \div 30}{600 \div 30} = \frac{21}{20}$

Answer $\frac{70}{75}\div\frac{8}{9} = \frac{21}{20}$

The following animation demonstrates the divide-by,