What is 35/42 Divided By 1/5

Solving $\frac{35}{42}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{1}{5} = \frac{35}{42} \times \frac{5}{1}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{35}{42} \times \frac{1}{5} = \frac{175}{42}$

Let's Simplify $\frac{175}{42}$

• Find the Greatest Common Divisor (GCD) of $175$ and $42$. The GCD of $175$ and $42$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 7}{42 \div 7} = \frac{25}{6}$

Answer $\frac{35}{42}\div\frac{1}{5} = \frac{25}{6}$

The following animation demonstrates the divide-by,