66/67 subtracted by 168/2 in Fraction Form
The result of 66/67 subtracted by 168/2 is: -84 66/67
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac1682\) from \(\frac6667\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 67 and 2 is 134.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac6667\) to \(\frac{132}134\)
Convert \(\frac1682\) to \(\frac{11256}134\)
Step 4: Subtract the Numerators
Subtract the numerators: 132 - 11256 = -11124
Step 5: Simplify the Fraction
We can simplify \(\frac-11124134\) to its lowest form.
The greatest common divisor (GCD) of -11124 and 134 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-556267\).
Step 6: Convert to Mixed Number
The fraction \(\frac-556267\) can be written as the mixed number \(-84\frac6667\).
Final Answer
The result of 66/67 subtracted by 168/2 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: