263/109 subtracted by 55/4 in Fraction Form
The result of 263/109 subtracted by 55/4 is: -12 289/436
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac554\) from \(\frac263109\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 109 and 4 is 436.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac263109\) to \(\frac{1052}436\)
Convert \(\frac554\) to \(\frac{5995}436\)
Step 4: Subtract the Numerators
Subtract the numerators: 1052 - 5995 = -4943
Step 5: Convert to Mixed Number
The fraction \(\frac-4943436\) can be written as the mixed number \(-12\frac289436\).
Final Answer
The result of 263/109 subtracted by 55/4 is:
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: