What is 98/27 Divided By 7/5

Solving $\frac{98}{27}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{27} \div \frac{7}{5} = \frac{98}{27} \times \frac{5}{7}$

• Multiply the Numerators: $98 \times 5 = 490$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{98}{27} \times \frac{7}{5} = \frac{490}{189}$

Let's Simplify $\frac{490}{189}$

• Find the Greatest Common Divisor (GCD) of $490$ and $189$. The GCD of $490$ and $189$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 7}{189 \div 7} = \frac{70}{27}$

Answer $\frac{98}{27}\div\frac{7}{5} = \frac{70}{27}$

The following animation demonstrates the divide-by,