28/161 subtracted by 185/3 in Fraction Form
The result of 28/161 subtracted by 185/3 is: -62 35/69
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac1853\) from \(\frac28161\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 161 and 3 is 483.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac28161\) to \(\frac{84}483\)
Convert \(\frac1853\) to \(\frac{29785}483\)
Step 4: Subtract the Numerators
Subtract the numerators: 84 - 29785 = -29701
Step 5: Simplify the Fraction
We can simplify \(\frac-29701483\) to its lowest form.
The greatest common divisor (GCD) of -29701 and 483 is 7.
Dividing both numerator and denominator by the GCD, we get \(\frac-424369\).
Step 6: Convert to Mixed Number
The fraction \(\frac-424369\) can be written as the mixed number \(-62\frac3569\).
Final Answer
The result of 28/161 subtracted by 185/3 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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