127/7 subtracted by 99/6 in Fraction Form

The result of 127/7 subtracted by 99/6 is: 1 9/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{9}{9} 6$ from $\frac{1}{2} 77$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 7 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 77$ to $\frac{762}{4} 2$
Convert $\frac{9}{9} 6$ to $\frac{693}{4} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 762 - 693 = 69

Step 5: Simplify the Fraction

We can simplify $\frac{6}{9} 42$ to its lowest form.
The greatest common divisor (GCD) of 69 and 42 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{3} 14$ .

Step 6: Convert to Mixed Number

The fraction $\frac{2}{3} 14$ can be written as the mixed number $1 \frac{9}{1} 4$ .

Final Answer

The result of 127/7 subtracted by 99/6 is:

\frac{127}{7} - \frac{99}{6} = 1 \frac{9}{1} 4

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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