What is 83/34 Divided By 7/8

Solving $\frac{83}{34}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{34} \div \frac{7}{8} = \frac{83}{34} \times \frac{8}{7}$

• Multiply the Numerators: $83 \times 8 = 664$
• Multiply the Denominators: $34 \times 7 = 238$
• Form the New Fraction: $\frac{83}{34} \times \frac{7}{8} = \frac{664}{238}$

Let's Simplify $\frac{664}{238}$

• Find the Greatest Common Divisor (GCD) of $664$ and $238$. The GCD of $664$ and $238$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{664 \div 2}{238 \div 2} = \frac{332}{119}$

Answer $\frac{83}{34}\div\frac{7}{8} = \frac{332}{119}$

The following animation demonstrates the divide-by,