10/127 subtracted by 118/4 in Fraction Form

The result of 10/127 subtracted by 118/4 is: -30 147/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{1} 84$ from $\frac{1}{0} 127$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{0} 127$ to $\frac{40}{5} 08$
Convert $\frac{1}{1} 84$ to $\frac{14986}{5} 08$

Step 4: Subtract the Numerators

Subtract the numerators: 40 - 14986 = -14946

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 4946508$ to its lowest form.
The greatest common divisor (GCD) of -14946 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{7} 473254$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{7} 473254$ can be written as the mixed number $- 30 \frac{1}{4} 7254$ .

Final Answer

The result of 10/127 subtracted by 118/4 is:

\frac{10}{127} - \frac{118}{4} = - 30 \frac{1}{4} 7254

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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