3/5 divided by 1/6 in Fraction Form

The result of 3/5 divided by 1/6 is: 3 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac35\) by \(\frac16\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac35 \div \frac16 = \frac35 \times \frac61\)

Step 3: Multiply the Fractions

Multiply the numerators: 3 × 6 = 18
Multiply the denominators: 5 × 1 = 5

Step 4: Convert to Mixed Number

The fraction \(\frac185\) can be written as the mixed number \(3\frac35\).

Final Answer

The result of 3/5 divided by 1/6 is:

\[ \frac{3}{5} \div \frac{1}{6} = 3\frac35 \]

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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