What is 12/46 Divided By 3/5

Solving $\frac{12}{46}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{46} \div \frac{3}{5} = \frac{12}{46} \times \frac{5}{3}$

• Multiply the Numerators: $12 \times 5 = 60$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{12}{46} \times \frac{3}{5} = \frac{60}{138}$

Let's Simplify $\frac{60}{138}$

• Find the Greatest Common Divisor (GCD) of $60$ and $138$. The GCD of $60$ and $138$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{60 \div 6}{138 \div 6} = \frac{10}{23}$

Answer $\frac{12}{46}\div\frac{3}{5} = \frac{10}{23}$

The following animation demonstrates the divide-by,