17/364 subtracted by 41/3 in Fraction Form
The result of 17/364 subtracted by 41/3 is: -14 415/1092
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac413\) from \(\frac17364\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 364 and 3 is 1092.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac17364\) to \(\frac{51}1092\)
Convert \(\frac413\) to \(\frac{14924}1092\)
Step 4: Subtract the Numerators
Subtract the numerators: 51 - 14924 = -14873
Step 5: Convert to Mixed Number
The fraction \(\frac-148731092\) can be written as the mixed number \(-14\frac4151092\).
Final Answer
The result of 17/364 subtracted by 41/3 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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