37/300 subtracted by 83/2 in Fraction Form

The result of 37/300 subtracted by 83/2 is: -42 187/300

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac832\) from \(\frac37300\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 300 and 2 is 300.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac37300\) to \(\frac{37}300\)
Convert \(\frac832\) to \(\frac{12450}300\)

Step 4: Subtract the Numerators

Subtract the numerators: 37 - 12450 = -12413

Step 5: Convert to Mixed Number

The fraction \(\frac-12413300\) can be written as the mixed number \(-42\frac187300\).

Final Answer

The result of 37/300 subtracted by 83/2 is:

\[ \frac{37}{300} - \frac{83}{2} = -42\frac187300 \]

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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