31/115 subtracted by 101/4 in Fraction Form
The result of 31/115 subtracted by 101/4 is: -25 9/460
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac1014\) from \(\frac31115\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 115 and 4 is 460.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac31115\) to \(\frac{124}460\)
Convert \(\frac1014\) to \(\frac{11615}460\)
Step 4: Subtract the Numerators
Subtract the numerators: 124 - 11615 = -11491
Step 5: Convert to Mixed Number
The fraction \(\frac-11491460\) can be written as the mixed number \(-25\frac9460\).
Final Answer
The result of 31/115 subtracted by 101/4 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
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