127/215 subtracted by 19/2 in Fraction Form

The result of 127/215 subtracted by 19/2 is: -9 39/430

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac192\) from \(\frac127215\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 215 and 2 is 430.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac127215\) to \(\frac{254}430\)
Convert \(\frac192\) to \(\frac{4085}430\)

Step 4: Subtract the Numerators

Subtract the numerators: 254 - 4085 = -3831

Step 5: Convert to Mixed Number

The fraction \(\frac-3831430\) can be written as the mixed number \(-9\frac39430\).

Final Answer

The result of 127/215 subtracted by 19/2 is:

\[ \frac{127}{215} - \frac{19}{2} = -9\frac39430 \]

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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