What is 45/42 Divided By 6/4

Solving $\frac{45}{42}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{42} \div \frac{6}{4} = \frac{45}{42} \times \frac{4}{6}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{45}{42} \times \frac{6}{4} = \frac{180}{252}$

Let's Simplify $\frac{180}{252}$

• Find the Greatest Common Divisor (GCD) of $180$ and $252$. The GCD of $180$ and $252$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 36}{252 \div 36} = \frac{5}{7}$

Answer $\frac{45}{42}\div\frac{6}{4} = \frac{5}{7}$

The following animation demonstrates the divide-by,