What is 42/83 Divided By 1/6

Solving $\frac{42}{83}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{83} \div \frac{1}{6} = \frac{42}{83} \times \frac{6}{1}$

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $83 \times 1 = 83$
• Form the New Fraction: $\frac{42}{83} \times \frac{1}{6} = \frac{252}{83}$

Simplify - Since $\frac{252}{83}$​ is already in its simplest form (there are no common factors between $252$ and $83$ other than $1$), this is the final answer.

Answer $\frac{42}{83}\div\frac{1}{6} = \frac{252}{83}$

The following animation demonstrates the divide-by,