What is 70/35 Divided By 8/9

Solving $\frac{70}{35}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{35} \div \frac{8}{9} = \frac{70}{35} \times \frac{9}{8}$

• Multiply the Numerators: $70 \times 9 = 630$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{70}{35} \times \frac{8}{9} = \frac{630}{280}$

Let's Simplify $\frac{630}{280}$

• Find the Greatest Common Divisor (GCD) of $630$ and $280$. The GCD of $630$ and $280$ is $70$.
• Divide both the numerator and the denominator by the GCD:$\frac{630 \div 70}{280 \div 70} = \frac{9}{4}$

Answer $\frac{70}{35}\div\frac{8}{9} = \frac{9}{4}$

The following animation demonstrates the divide-by,