What is 50/35 Divided By 5/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,