179/226 subtracted by 25/2 in Fraction Form

The result of 179/226 subtracted by 25/2 is: -12 33/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac252\) from \(\frac179226\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 226 and 2 is 226.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac179226\) to \(\frac{179}226\)
Convert \(\frac252\) to \(\frac{2825}226\)

Step 4: Subtract the Numerators

Subtract the numerators: 179 - 2825 = -2646

Step 5: Simplify the Fraction

We can simplify \(\frac-2646226\) to its lowest form.
The greatest common divisor (GCD) of -2646 and 226 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-1323113\).

Step 6: Convert to Mixed Number

The fraction \(\frac-1323113\) can be written as the mixed number \(-12\frac33113\).

Final Answer

The result of 179/226 subtracted by 25/2 is:

\[ \frac{179}{226} - \frac{25}{2} = -12\frac33113 \]

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (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: