What is 27/42 Divided By 7/5

Solving $\frac{27}{42}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{7}{5} = \frac{27}{42} \times \frac{5}{7}$

• Multiply the Numerators: $27 \times 5 = 135$
• Multiply the Denominators: $42 \times 7 = 294$
• Form the New Fraction: $\frac{27}{42} \times \frac{7}{5} = \frac{135}{294}$

Let's Simplify $\frac{135}{294}$

• Find the Greatest Common Divisor (GCD) of $135$ and $294$. The GCD of $135$ and $294$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{135 \div 3}{294 \div 3} = \frac{45}{98}$

Answer $\frac{27}{42}\div\frac{7}{5} = \frac{45}{98}$

The following animation demonstrates the divide-by,