What is 42/76 Divided By 5/4

Solving $\frac{42}{76}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{76} \div \frac{5}{4} = \frac{42}{76} \times \frac{4}{5}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{42}{76} \times \frac{5}{4} = \frac{168}{380}$

Let's Simplify $\frac{168}{380}$

• Find the Greatest Common Divisor (GCD) of $168$ and $380$. The GCD of $168$ and $380$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 4}{380 \div 4} = \frac{42}{95}$

Answer $\frac{42}{76}\div\frac{5}{4} = \frac{42}{95}$

The following animation demonstrates the divide-by,