What is 35/75 Divided By 2/8

Solving $\frac{35}{75}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{75} \div \frac{2}{8} = \frac{35}{75} \times \frac{8}{2}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{35}{75} \times \frac{2}{8} = \frac{280}{150}$

Let's Simplify $\frac{280}{150}$

• Find the Greatest Common Divisor (GCD) of $280$ and $150$. The GCD of $280$ and $150$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 10}{150 \div 10} = \frac{28}{15}$

Answer $\frac{35}{75}\div\frac{2}{8} = \frac{28}{15}$

The following animation demonstrates the divide-by,