127/282 subtracted by 63/4 in Fraction Form
The result of 127/282 subtracted by 63/4 is: -16 395/564
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac634\) from \(\frac127282\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 282 and 4 is 564.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac127282\) to \(\frac{254}564\)
Convert \(\frac634\) to \(\frac{8883}564\)
Step 4: Subtract the Numerators
Subtract the numerators: 254 - 8883 = -8629
Step 5: Convert to Mixed Number
The fraction \(\frac-8629564\) can be written as the mixed number \(-16\frac395564\).
Final Answer
The result of 127/282 subtracted by 63/4 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: