20/208 subtracted by 118/3 in Fraction Form
The result of 20/208 subtracted by 118/3 is: -40 119/156
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac1183\) from \(\frac20208\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 208 and 3 is 624.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac20208\) to \(\frac{60}624\)
Convert \(\frac1183\) to \(\frac{24544}624\)
Step 4: Subtract the Numerators
Subtract the numerators: 60 - 24544 = -24484
Step 5: Simplify the Fraction
We can simplify \(\frac-24484624\) to its lowest form.
The greatest common divisor (GCD) of -24484 and 624 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-6121156\).
Step 6: Convert to Mixed Number
The fraction \(\frac-6121156\) can be written as the mixed number \(-40\frac119156\).
Final Answer
The result of 20/208 subtracted by 118/3 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).
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