What is 27/60 Divided By 7/8

Solving $\frac{27}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{60} \div \frac{7}{8} = \frac{27}{60} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{27}{60} \times \frac{7}{8} = \frac{216}{420}$

Let's Simplify $\frac{216}{420}$

• Find the Greatest Common Divisor (GCD) of $216$ and $420$. The GCD of $216$ and $420$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 12}{420 \div 12} = \frac{18}{35}$

Answer $\frac{27}{60}\div\frac{7}{8} = \frac{18}{35}$

The following animation demonstrates the divide-by,