What is 98/70 Divided By 7/9

Solving $\frac{98}{70}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{70} \div \frac{7}{9} = \frac{98}{70} \times \frac{9}{7}$

• Multiply the Numerators: $98 \times 9 = 882$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{98}{70} \times \frac{7}{9} = \frac{882}{490}$

Let's Simplify $\frac{882}{490}$

• Find the Greatest Common Divisor (GCD) of $882$ and $490$. The GCD of $882$ and $490$ is $98$.
• Divide both the numerator and the denominator by the GCD:$\frac{882 \div 98}{490 \div 98} = \frac{9}{5}$

Answer $\frac{98}{70}\div\frac{7}{9} = \frac{9}{5}$

The following animation demonstrates the divide-by,