17/6 subtracted by 1/6 in Fraction Form

The result of 17/6 subtracted by 1/6 is: 2 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{6}$ from $\frac{1}{7} 6$ .

Step 2: Subtract the Numerators (Same Denominator)

Since the denominators are the same, we can directly subtract the numerators: 17 - 1 = 16

Step 3: Simplify the Fraction

We can simplify $\frac{1}{6} 6$ to its lowest form.
The greatest common divisor (GCD) of 16 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{8}{3}$ .

Step 4: Convert to Mixed Number

The fraction $\frac{8}{3}$ can be written as the mixed number $2 \frac{2}{3}$ .

Final Answer

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

\frac{17}{6} - \frac{1}{6} = 2 \frac{2}{3}

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (when denominators are different)

Or simply $\frac{a}{b} - \frac{c}{b} = \frac{a - c}{b}$ (when denominators are the same)

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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