What is 42/45 Divided By 7/3

Solving $\frac{42}{45}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{7}{3} = \frac{42}{45} \times \frac{3}{7}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{42}{45} \times \frac{7}{3} = \frac{126}{315}$

Let's Simplify $\frac{126}{315}$

• Find the Greatest Common Divisor (GCD) of $126$ and $315$. The GCD of $126$ and $315$ is $63$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 63}{315 \div 63} = \frac{2}{5}$

Answer $\frac{42}{45}\div\frac{7}{3} = \frac{2}{5}$

The following animation demonstrates the divide-by,