What is 42/98 Divided By 9/5

Solving $\frac{42}{98}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{98} \div \frac{9}{5} = \frac{42}{98} \times \frac{5}{9}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $98 \times 9 = 882$
• Form the New Fraction: $\frac{42}{98} \times \frac{9}{5} = \frac{210}{882}$

Let's Simplify $\frac{210}{882}$

• Find the Greatest Common Divisor (GCD) of $210$ and $882$. The GCD of $210$ and $882$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 42}{882 \div 42} = \frac{5}{21}$

Answer $\frac{42}{98}\div\frac{9}{5} = \frac{5}{21}$

The following animation demonstrates the divide-by,