What is 42/27 Divided By 5/3

Solving $\frac{42}{27}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{27} \div \frac{5}{3} = \frac{42}{27} \times \frac{3}{5}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $27 \times 5 = 135$
• Form the New Fraction: $\frac{42}{27} \times \frac{5}{3} = \frac{126}{135}$

Let's Simplify $\frac{126}{135}$

• Find the Greatest Common Divisor (GCD) of $126$ and $135$. The GCD of $126$ and $135$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 9}{135 \div 9} = \frac{14}{15}$

Answer $\frac{42}{27}\div\frac{5}{3} = \frac{14}{15}$

The following animation demonstrates the divide-by,