12/51 subtracted by 13/2 in Fraction Form

The result of 12/51 subtracted by 13/2 is: -7 25/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{3} 2$ from $\frac{1}{2} 51$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 51 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 51$ to $\frac{24}{1} 02$
Convert $\frac{1}{3} 2$ to $\frac{663}{1} 02$

Step 4: Subtract the Numerators

Subtract the numerators: 24 - 663 = -639

Step 5: Simplify the Fraction

We can simplify $\frac{-}{6} 39102$ to its lowest form.
The greatest common divisor (GCD) of -639 and 102 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{2} 1334$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{2} 1334$ can be written as the mixed number $- 7 \frac{2}{5} 34$ .

Final Answer

The result of 12/51 subtracted by 13/2 is:

\frac{12}{51} - \frac{13}{2} = - 7 \frac{2}{5} 34

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: