What is 98/42 Divided By 7/5

Solving $\frac{98}{42}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{42} \div \frac{7}{5} = \frac{98}{42} \times \frac{5}{7}$

• Multiply the Numerators: $98 \times 5 = 490$
• Multiply the Denominators: $42 \times 7 = 294$
• Form the New Fraction: $\frac{98}{42} \times \frac{7}{5} = \frac{490}{294}$

Let's Simplify $\frac{490}{294}$

• Find the Greatest Common Divisor (GCD) of $490$ and $294$. The GCD of $490$ and $294$ is $98$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 98}{294 \div 98} = \frac{5}{3}$

Answer $\frac{98}{42}\div\frac{7}{5} = \frac{5}{3}$

The following animation demonstrates the divide-by,