127/313 subtracted by 36/3 in Fraction Form
The result of 127/313 subtracted by 36/3 is: -12 127/313
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac363\) from \(\frac127313\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 313 and 3 is 939.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac127313\) to \(\frac{381}939\)
Convert \(\frac363\) to \(\frac{11268}939\)
Step 4: Subtract the Numerators
Subtract the numerators: 381 - 11268 = -10887
Step 5: Simplify the Fraction
We can simplify \(\frac-10887939\) to its lowest form.
The greatest common divisor (GCD) of -10887 and 939 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-3629313\).
Step 6: Convert to Mixed Number
The fraction \(\frac-3629313\) can be written as the mixed number \(-12\frac127313\).
Final Answer
The result of 127/313 subtracted by 36/3 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: