What is 28/27 Divided By 2/5

Solving $\frac{28}{27}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{27} \div \frac{2}{5} = \frac{28}{27} \times \frac{5}{2}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{28}{27} \times \frac{2}{5} = \frac{140}{54}$

Let's Simplify $\frac{140}{54}$

• Find the Greatest Common Divisor (GCD) of $140$ and $54$. The GCD of $140$ and $54$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 2}{54 \div 2} = \frac{70}{27}$

Answer $\frac{28}{27}\div\frac{2}{5} = \frac{70}{27}$

The following animation demonstrates the divide-by,