48/125 subtracted by 256/2 in Fraction Form

The result of 48/125 subtracted by 256/2 is: -128 48/125

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2562\) from \(\frac48125\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 125 and 2 is 250.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac48125\) to \(\frac{96}250\)
Convert \(\frac2562\) to \(\frac{32000}250\)

Step 4: Subtract the Numerators

Subtract the numerators: 96 - 32000 = -31904

Step 5: Simplify the Fraction

We can simplify \(\frac-31904250\) to its lowest form.
The greatest common divisor (GCD) of -31904 and 250 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-15952125\).

Step 6: Convert to Mixed Number

The fraction \(\frac-15952125\) can be written as the mixed number \(-128\frac48125\).

Final Answer

The result of 48/125 subtracted by 256/2 is:

\[ \frac{48}{125} - \frac{256}{2} = -128\frac48125 \]

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).

Fraction Calculator

Calculate operations between any two fractions: