What is 60/34 Divided By 9/8

Solving $\frac{60}{34}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{34} \div \frac{9}{8} = \frac{60}{34} \times \frac{8}{9}$

• Multiply the Numerators: $60 \times 8 = 480$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{60}{34} \times \frac{9}{8} = \frac{480}{306}$

Let's Simplify $\frac{480}{306}$

• Find the Greatest Common Divisor (GCD) of $480$ and $306$. The GCD of $480$ and $306$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{480 \div 6}{306 \div 6} = \frac{80}{51}$

Answer $\frac{60}{34}\div\frac{9}{8} = \frac{80}{51}$

The following animation demonstrates the divide-by,