What is 75/46 Divided By 3/1

Solving $\frac{75}{46}\div\frac{3}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{46} \div \frac{3}{1} = \frac{75}{46} \times \frac{1}{3}$

• Multiply the Numerators: $75 \times 1 = 75$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{75}{46} \times \frac{3}{1} = \frac{75}{138}$

Let's Simplify $\frac{75}{138}$

• Find the Greatest Common Divisor (GCD) of $75$ and $138$. The GCD of $75$ and $138$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{75 \div 3}{138 \div 3} = \frac{25}{46}$

Answer $\frac{75}{46}\div\frac{3}{1} = \frac{25}{46}$

The following animation demonstrates the divide-by,