What is 35/50 Divided By 4/5

Solving $\frac{35}{50}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{50} \div \frac{4}{5} = \frac{35}{50} \times \frac{5}{4}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $50 \times 4 = 200$
• Form the New Fraction: $\frac{35}{50} \times \frac{4}{5} = \frac{175}{200}$

Let's Simplify $\frac{175}{200}$

• Find the Greatest Common Divisor (GCD) of $175$ and $200$. The GCD of $175$ and $200$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 25}{200 \div 25} = \frac{7}{8}$

Answer $\frac{35}{50}\div\frac{4}{5} = \frac{7}{8}$

The following animation demonstrates the divide-by,