What is 45/42 Divided By 6/5

Solving $\frac{45}{42}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{42} \div \frac{6}{5} = \frac{45}{42} \times \frac{5}{6}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{45}{42} \times \frac{6}{5} = \frac{225}{252}$

Let's Simplify $\frac{225}{252}$

• Find the Greatest Common Divisor (GCD) of $225$ and $252$. The GCD of $225$ and $252$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 9}{252 \div 9} = \frac{25}{28}$

Answer $\frac{45}{42}\div\frac{6}{5} = \frac{25}{28}$

The following animation demonstrates the divide-by,