17/6 divided by 1/6 in Fraction Form

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

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{1}{7} 6$ by $\frac{1}{6}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{1}{7} 6 \div \frac{1}{6} = \frac{1}{7} 6 \times \frac{6}{1}$

Step 3: Multiply the Fractions

Multiply the numerators: 17 × 6 = 102
Multiply the denominators: 6 × 1 = 6

Step 4: Simplify the Fraction

We can simplify $\frac{1}{0} 26$ to its lowest form.
The greatest common divisor (GCD) of 102 and 6 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 1$ .

Final Answer

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

\frac{17}{6} \div \frac{1}{6} = 17

Understanding Fraction Division

How to Divide Fractions

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

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a d}{b c}$

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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