What is 95/42 Divided By 7/8

Solving $\frac{95}{42}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{42} \div \frac{7}{8} = \frac{95}{42} \times \frac{8}{7}$

• Multiply the Numerators: $95 \times 8 = 760$
• Multiply the Denominators: $42 \times 7 = 294$
• Form the New Fraction: $\frac{95}{42} \times \frac{7}{8} = \frac{760}{294}$

Let's Simplify $\frac{760}{294}$

• Find the Greatest Common Divisor (GCD) of $760$ and $294$. The GCD of $760$ and $294$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{760 \div 2}{294 \div 2} = \frac{380}{147}$

Answer $\frac{95}{42}\div\frac{7}{8} = \frac{380}{147}$

The following animation demonstrates the divide-by,