What is 42/45 Divided By 4/5

Solving $\frac{42}{45}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{4}{5} = \frac{42}{45} \times \frac{5}{4}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{42}{45} \times \frac{4}{5} = \frac{210}{180}$

Let's Simplify $\frac{210}{180}$

• Find the Greatest Common Divisor (GCD) of $210$ and $180$. The GCD of $210$ and $180$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 30}{180 \div 30} = \frac{7}{6}$

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

The following animation demonstrates the divide-by,