What is 42/45 Divided By 5/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,