What is 35/60 Divided By 9/8

Solving $\frac{35}{60}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{60} \div \frac{9}{8} = \frac{35}{60} \times \frac{8}{9}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $60 \times 9 = 540$
• Form the New Fraction: $\frac{35}{60} \times \frac{9}{8} = \frac{280}{540}$

Let's Simplify $\frac{280}{540}$

• Find the Greatest Common Divisor (GCD) of $280$ and $540$. The GCD of $280$ and $540$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 20}{540 \div 20} = \frac{14}{27}$

Answer $\frac{35}{60}\div\frac{9}{8} = \frac{14}{27}$

The following animation demonstrates the divide-by,