What is 42/54 Divided By 5/3

Solving $\frac{42}{54}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{54} \div \frac{5}{3} = \frac{42}{54} \times \frac{3}{5}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $54 \times 5 = 270$
• Form the New Fraction: $\frac{42}{54} \times \frac{5}{3} = \frac{126}{270}$

Let's Simplify $\frac{126}{270}$

• Find the Greatest Common Divisor (GCD) of $126$ and $270$. The GCD of $126$ and $270$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{270 \div 18} = \frac{7}{15}$

Answer $\frac{42}{54}\div\frac{5}{3} = \frac{7}{15}$

The following animation demonstrates the divide-by,