What is 34/54 Divided By 7/5

Solving $\frac{34}{54}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{54} \div \frac{7}{5} = \frac{34}{54} \times \frac{5}{7}$

• Multiply the Numerators: $34 \times 5 = 170$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{34}{54} \times \frac{7}{5} = \frac{170}{378}$

Let's Simplify $\frac{170}{378}$

• Find the Greatest Common Divisor (GCD) of $170$ and $378$. The GCD of $170$ and $378$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{170 \div 2}{378 \div 2} = \frac{85}{189}$

Answer $\frac{34}{54}\div\frac{7}{5} = \frac{85}{189}$

The following animation demonstrates the divide-by,