What is 34/27 Divided By 8/5

Solving $\frac{34}{27}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{27} \div \frac{8}{5} = \frac{34}{27} \times \frac{5}{8}$

• Multiply the Numerators: $34 \times 5 = 170$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{34}{27} \times \frac{8}{5} = \frac{170}{216}$

Let's Simplify $\frac{170}{216}$

• Find the Greatest Common Divisor (GCD) of $170$ and $216$. The GCD of $170$ and $216$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 2}{216 \div 2} = \frac{85}{108}$

Answer $\frac{34}{27}\div\frac{8}{5} = \frac{85}{108}$

The following animation demonstrates the divide-by,