177/205 subtracted by 11/4 in Fraction Form
The result of 177/205 subtracted by 11/4 is: -2 93/820
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac114\) from \(\frac177205\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 205 and 4 is 820.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac177205\) to \(\frac{708}820\)
Convert \(\frac114\) to \(\frac{2255}820\)
Step 4: Subtract the Numerators
Subtract the numerators: 708 - 2255 = -1547
Step 5: Convert to Mixed Number
The fraction \(\frac-1547820\) can be written as the mixed number \(-2\frac93820\).
Final Answer
The result of 177/205 subtracted by 11/4 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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