What is 35/50 Divided By 8/5

Solving $\frac{35}{50}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{50} \div \frac{8}{5} = \frac{35}{50} \times \frac{5}{8}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $50 \times 8 = 400$
• Form the New Fraction: $\frac{35}{50} \times \frac{8}{5} = \frac{175}{400}$

Let's Simplify $\frac{175}{400}$

• Find the Greatest Common Divisor (GCD) of $175$ and $400$. The GCD of $175$ and $400$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 25}{400 \div 25} = \frac{7}{16}$

Answer $\frac{35}{50}\div\frac{8}{5} = \frac{7}{16}$

The following animation demonstrates the divide-by,