What is 88/42 Divided By 2/5

Solving $\frac{88}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{42} \div \frac{2}{5} = \frac{88}{42} \times \frac{5}{2}$

• Multiply the Numerators: $88 \times 5 = 440$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{88}{42} \times \frac{2}{5} = \frac{440}{84}$

Let's Simplify $\frac{440}{84}$

• Find the Greatest Common Divisor (GCD) of $440$ and $84$. The GCD of $440$ and $84$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{440 \div 4}{84 \div 4} = \frac{110}{21}$

Answer $\frac{88}{42}\div\frac{2}{5} = \frac{110}{21}$

The following animation demonstrates the divide-by,