127/102 subtracted by 42/4 in Fraction Form

The result of 127/102 subtracted by 42/4 is: -10 38/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{4}{2} 4$ from $\frac{1}{2} 7102$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 7102$ to $\frac{254}{2} 04$
Convert $\frac{4}{2} 4$ to $\frac{2142}{2} 04$

Step 4: Subtract the Numerators

Subtract the numerators: 254 - 2142 = -1888

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 888204$ to its lowest form.
The greatest common divisor (GCD) of -1888 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{4} 7251$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{4} 7251$ can be written as the mixed number $- 10 \frac{3}{8} 51$ .

Final Answer

The result of 127/102 subtracted by 42/4 is:

\frac{127}{102} - \frac{42}{4} = - 10 \frac{3}{8} 51

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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