What is 42/45 Divided By 4/3

Solving $\frac{42}{45}\div\frac{4}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{4}{3} = \frac{42}{45} \times \frac{3}{4}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{42}{45} \times \frac{4}{3} = \frac{126}{180}$

Let's Simplify $\frac{126}{180}$

• Find the Greatest Common Divisor (GCD) of $126$ and $180$. The GCD of $126$ and $180$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 18}{180 \div 18} = \frac{7}{10}$

Answer $\frac{42}{45}\div\frac{4}{3} = \frac{7}{10}$

The following animation demonstrates the divide-by,