36/17 divided by 1/6 in Fraction Form

The result of 36/17 divided by 1/6 is: 12 12/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac3617\) by \(\frac16\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac3617 \div \frac16 = \frac3617 \times \frac61\)

Step 3: Multiply the Fractions

Multiply the numerators: 36 × 6 = 216
Multiply the denominators: 17 × 1 = 17

Step 4: Convert to Mixed Number

The fraction \(\frac21617\) can be written as the mixed number \(12\frac1217\).

Final Answer

The result of 36/17 divided by 1/6 is:

\[ \frac{36}{17} \div \frac{1}{6} = 12\frac1217 \]

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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