What is 35/50 Divided By 4/7

Solving $\frac{35}{50}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{50} \div \frac{4}{7} = \frac{35}{50} \times \frac{7}{4}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $50 \times 4 = 200$
• Form the New Fraction: $\frac{35}{50} \times \frac{4}{7} = \frac{245}{200}$

Let's Simplify $\frac{245}{200}$

• Find the Greatest Common Divisor (GCD) of $245$ and $200$. The GCD of $245$ and $200$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 5}{200 \div 5} = \frac{49}{40}$

Answer $\frac{35}{50}\div\frac{4}{7} = \frac{49}{40}$

The following animation demonstrates the divide-by,