What is 19/95 Divided By 8/7

Solving $\frac{19}{95}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{95} \div \frac{8}{7} = \frac{19}{95} \times \frac{7}{8}$

• Multiply the Numerators: $19 \times 7 = 133$
• Multiply the Denominators: $95 \times 8 = 760$
• Form the New Fraction: $\frac{19}{95} \times \frac{8}{7} = \frac{133}{760}$

Let's Simplify $\frac{133}{760}$

• Find the Greatest Common Divisor (GCD) of $133$ and $760$. The GCD of $133$ and $760$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{133 \div 19}{760 \div 19} = \frac{7}{40}$

Answer $\frac{19}{95}\div\frac{8}{7} = \frac{7}{40}$

The following animation demonstrates the divide-by,