84/201 subtracted by 236/4 in Fraction Form
The result of 84/201 subtracted by 236/4 is: -59 28/67
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac2364\) from \(\frac84201\).
Step 2: Find the Least Common Multiple (LCM)
To subtract fractions, we need a common denominator. The LCM of 201 and 4 is 804.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac84201\) to \(\frac{336}804\)
Convert \(\frac2364\) to \(\frac{47436}804\)
Step 4: Subtract the Numerators
Subtract the numerators: 336 - 47436 = -47100
Step 5: Simplify the Fraction
We can simplify \(\frac-47100804\) to its lowest form.
The greatest common divisor (GCD) of -47100 and 804 is 12.
Dividing both numerator and denominator by the GCD, we get \(\frac-392567\).
Step 6: Convert to Mixed Number
The fraction \(\frac-392567\) can be written as the mixed number \(-59\frac2867\).
Final Answer
The result of 84/201 subtracted by 236/4 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).
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