What is 42/45 Divided By 1/6

Solving $\frac{42}{45}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{1}{6} = \frac{42}{45} \times \frac{6}{1}$

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $45 \times 1 = 45$
• Form the New Fraction: $\frac{42}{45} \times \frac{1}{6} = \frac{252}{45}$

Let's Simplify $\frac{252}{45}$

• Find the Greatest Common Divisor (GCD) of $252$ and $45$. The GCD of $252$ and $45$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 9}{45 \div 9} = \frac{28}{5}$

Answer $\frac{42}{45}\div\frac{1}{6} = \frac{28}{5}$

The following animation demonstrates the divide-by,