26/239 subtracted by 128/2 in Fraction Form

The result of 26/239 subtracted by 128/2 is: -64 26/239

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1282\) from \(\frac26239\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 239 and 2 is 478.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac26239\) to \(\frac{52}478\)
Convert \(\frac1282\) to \(\frac{30592}478\)

Step 4: Subtract the Numerators

Subtract the numerators: 52 - 30592 = -30540

Step 5: Simplify the Fraction

We can simplify \(\frac-30540478\) to its lowest form.
The greatest common divisor (GCD) of -30540 and 478 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-15270239\).

Step 6: Convert to Mixed Number

The fraction \(\frac-15270239\) can be written as the mixed number \(-64\frac26239\).

Final Answer

The result of 26/239 subtracted by 128/2 is:

\[ \frac{26}{239} - \frac{128}{2} = -64\frac26239 \]

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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