119/189 subtracted by 133/2 in Fraction Form
The result of 119/189 subtracted by 133/2 is: -66 7/54
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac1332\) from \(\frac119189\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 189 and 2 is 378.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac119189\) to \(\frac{238}378\)
Convert \(\frac1332\) to \(\frac{25137}378\)
Step 4: Subtract the Numerators
Subtract the numerators: 238 - 25137 = -24899
Step 5: Simplify the Fraction
We can simplify \(\frac-24899378\) to its lowest form.
The greatest common divisor (GCD) of -24899 and 378 is 7.
Dividing both numerator and denominator by the GCD, we get \(\frac-355754\).
Step 6: Convert to Mixed Number
The fraction \(\frac-355754\) can be written as the mixed number \(-66\frac754\).
Final Answer
The result of 119/189 subtracted by 133/2 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: