What is 42/75 Divided By 5/2

Solving $\frac{42}{75}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{5}{2} = \frac{42}{75} \times \frac{2}{5}$

• Multiply the Numerators: $42 \times 2 = 84$
• Multiply the Denominators: $75 \times 5 = 375$
• Form the New Fraction: $\frac{42}{75} \times \frac{5}{2} = \frac{84}{375}$

Let's Simplify $\frac{84}{375}$

• Find the Greatest Common Divisor (GCD) of $84$ and $375$. The GCD of $84$ and $375$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{84 \div 3}{375 \div 3} = \frac{28}{125}$

Answer $\frac{42}{75}\div\frac{5}{2} = \frac{28}{125}$

The following animation demonstrates the divide-by,