32/101 subtracted by 127/4 in Fraction Form

The result of 32/101 subtracted by 127/4 is: -32 229/404

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{2} 74$ from $\frac{3}{2} 101$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{2} 101$ to $\frac{128}{4} 04$
Convert $\frac{1}{2} 74$ to $\frac{12827}{4} 04$

Step 4: Subtract the Numerators

Subtract the numerators: 128 - 12827 = -12699

Step 5: Convert to Mixed Number

The fraction $\frac{-}{1} 2699404$ can be written as the mixed number $- 32 \frac{2}{2} 9404$ .

Final Answer

The result of 32/101 subtracted by 127/4 is:

\frac{32}{101} - \frac{127}{4} = - 32 \frac{2}{2} 9404

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).

Fraction Calculator

Calculate operations between any two fractions: