What is 19/70 Divided By 5/8

Solving $\frac{19}{70}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{70} \div \frac{5}{8} = \frac{19}{70} \times \frac{8}{5}$

• Multiply the Numerators: $19 \times 8 = 152$
• Multiply the Denominators: $70 \times 5 = 350$
• Form the New Fraction: $\frac{19}{70} \times \frac{5}{8} = \frac{152}{350}$

Let's Simplify $\frac{152}{350}$

• Find the Greatest Common Divisor (GCD) of $152$ and $350$. The GCD of $152$ and $350$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 2}{350 \div 2} = \frac{76}{175}$

Answer $\frac{19}{70}\div\frac{5}{8} = \frac{76}{175}$

The following animation demonstrates the divide-by,