What is 42/45 Divided By 3/5

Solving $\frac{42}{45}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{3}{5} = \frac{42}{45} \times \frac{5}{3}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $45 \times 3 = 135$
• Form the New Fraction: $\frac{42}{45} \times \frac{3}{5} = \frac{210}{135}$

Let's Simplify $\frac{210}{135}$

• Find the Greatest Common Divisor (GCD) of $210$ and $135$. The GCD of $210$ and $135$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 15}{135 \div 15} = \frac{14}{9}$

Answer $\frac{42}{45}\div\frac{3}{5} = \frac{14}{9}$

The following animation demonstrates the divide-by,