24/295 subtracted by 135/3 in Fraction Form

The result of 24/295 subtracted by 135/3 is: -45 24/295

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1353\) from \(\frac24295\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 295 and 3 is 885.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac24295\) to \(\frac{72}885\)
Convert \(\frac1353\) to \(\frac{39825}885\)

Step 4: Subtract the Numerators

Subtract the numerators: 72 - 39825 = -39753

Step 5: Simplify the Fraction

We can simplify \(\frac-39753885\) to its lowest form.
The greatest common divisor (GCD) of -39753 and 885 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-13251295\).

Step 6: Convert to Mixed Number

The fraction \(\frac-13251295\) can be written as the mixed number \(-45\frac24295\).

Final Answer

The result of 24/295 subtracted by 135/3 is:

\[ \frac{24}{295} - \frac{135}{3} = -45\frac24295 \]

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: