What is 70/98 Divided By 4/9

Solving $\frac{70}{98}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{98} \div \frac{4}{9} = \frac{70}{98} \times \frac{9}{4}$

• Multiply the Numerators: $70 \times 9 = 630$
• Multiply the Denominators: $98 \times 4 = 392$
• Form the New Fraction: $\frac{70}{98} \times \frac{4}{9} = \frac{630}{392}$

Let's Simplify $\frac{630}{392}$

• Find the Greatest Common Divisor (GCD) of $630$ and $392$. The GCD of $630$ and $392$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{630 \div 14}{392 \div 14} = \frac{45}{28}$

Answer $\frac{70}{98}\div\frac{4}{9} = \frac{45}{28}$

The following animation demonstrates the divide-by,