127/53 subtracted by 154/4 in Fraction Form

The result of 127/53 subtracted by 154/4 is: -37 95/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{5} 44$ from $\frac{1}{2} 753$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 753$ to $\frac{508}{2} 12$
Convert $\frac{1}{5} 44$ to $\frac{8162}{2} 12$

Step 4: Subtract the Numerators

Subtract the numerators: 508 - 8162 = -7654

Step 5: Simplify the Fraction

We can simplify $\frac{-}{7} 654212$ to its lowest form.
The greatest common divisor (GCD) of -7654 and 212 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{3} 827106$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{3} 827106$ can be written as the mixed number $- 37 \frac{9}{5} 106$ .

Final Answer

The result of 127/53 subtracted by 154/4 is:

\frac{127}{53} - \frac{154}{4} = - 37 \frac{9}{5} 106

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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