What is 42/75 Divided By 4/5

Solving $\frac{42}{75}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{4}{5} = \frac{42}{75} \times \frac{5}{4}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{42}{75} \times \frac{4}{5} = \frac{210}{300}$

Let's Simplify $\frac{210}{300}$

• Find the Greatest Common Divisor (GCD) of $210$ and $300$. The GCD of $210$ and $300$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 30}{300 \div 30} = \frac{7}{10}$

Answer $\frac{42}{75}\div\frac{4}{5} = \frac{7}{10}$

The following animation demonstrates the divide-by,