What is 18/98 Divided By 9/7

Solving $\frac{18}{98}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{98} \div \frac{9}{7} = \frac{18}{98} \times \frac{7}{9}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $98 \times 9 = 882$
• Form the New Fraction: $\frac{18}{98} \times \frac{9}{7} = \frac{126}{882}$

Let's Simplify $\frac{126}{882}$

• Find the Greatest Common Divisor (GCD) of $126$ and $882$. The GCD of $126$ and $882$ is $126$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 126}{882 \div 126} = \frac{1}{7}$

Answer $\frac{18}{98}\div\frac{9}{7} = \frac{1}{7}$

The following animation demonstrates the divide-by,