What is 28/74 Divided By 2/5

Solving $\frac{28}{74}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{74} \div \frac{2}{5} = \frac{28}{74} \times \frac{5}{2}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $74 \times 2 = 148$
• Form the New Fraction: $\frac{28}{74} \times \frac{2}{5} = \frac{140}{148}$

Let's Simplify $\frac{140}{148}$

• Find the Greatest Common Divisor (GCD) of $140$ and $148$. The GCD of $140$ and $148$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 4}{148 \div 4} = \frac{35}{37}$

Answer $\frac{28}{74}\div\frac{2}{5} = \frac{35}{37}$

The following animation demonstrates the divide-by,