What is 75/42 Divided By 5/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,