What is 12/17 Divided By 8/5

Solving $\frac{12}{17}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{17} \div \frac{8}{5} = \frac{12}{17} \times \frac{5}{8}$

• Multiply the Numerators: $12 \times 5 = 60$
• Multiply the Denominators: $17 \times 8 = 136$
• Form the New Fraction: $\frac{12}{17} \times \frac{8}{5} = \frac{60}{136}$

Let's Simplify $\frac{60}{136}$

• Find the Greatest Common Divisor (GCD) of $60$ and $136$. The GCD of $60$ and $136$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{60 \div 4}{136 \div 4} = \frac{15}{34}$

Answer $\frac{12}{17}\div\frac{8}{5} = \frac{15}{34}$

The following animation demonstrates the divide-by,