What is 42/53 Divided By 2/5

Solving $\frac{42}{53}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{53} \div \frac{2}{5} = \frac{42}{53} \times \frac{5}{2}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{42}{53} \times \frac{2}{5} = \frac{210}{106}$

Let's Simplify $\frac{210}{106}$

• Find the Greatest Common Divisor (GCD) of $210$ and $106$. The GCD of $210$ and $106$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 2}{106 \div 2} = \frac{105}{53}$

Answer $\frac{42}{53}\div\frac{2}{5} = \frac{105}{53}$

The following animation demonstrates the divide-by,