What is 35/28 Divided By 2/5

Solving $\frac{35}{28}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{28} \div \frac{2}{5} = \frac{35}{28} \times \frac{5}{2}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $28 \times 2 = 56$
• Form the New Fraction: $\frac{35}{28} \times \frac{2}{5} = \frac{175}{56}$

Let's Simplify $\frac{175}{56}$

• Find the Greatest Common Divisor (GCD) of $175$ and $56$. The GCD of $175$ and $56$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 7}{56 \div 7} = \frac{25}{8}$

Answer $\frac{35}{28}\div\frac{2}{5} = \frac{25}{8}$

The following animation demonstrates the divide-by,