What is 34/60 Divided By 7/8

Solving $\frac{34}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{60} \div \frac{7}{8} = \frac{34}{60} \times \frac{8}{7}$

• Multiply the Numerators: $34 \times 8 = 272$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{34}{60} \times \frac{7}{8} = \frac{272}{420}$

Let's Simplify $\frac{272}{420}$

• Find the Greatest Common Divisor (GCD) of $272$ and $420$. The GCD of $272$ and $420$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{272 \div 4}{420 \div 4} = \frac{68}{105}$

Answer $\frac{34}{60}\div\frac{7}{8} = \frac{68}{105}$

The following animation demonstrates the divide-by,