139/229 subtracted by 152/4 in Fraction Form

The result of 139/229 subtracted by 152/4 is: -38 139/229

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1524\) from \(\frac139229\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 229 and 4 is 916.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac139229\) to \(\frac{556}916\)
Convert \(\frac1524\) to \(\frac{34808}916\)

Step 4: Subtract the Numerators

Subtract the numerators: 556 - 34808 = -34252

Step 5: Simplify the Fraction

We can simplify \(\frac-34252916\) to its lowest form.
The greatest common divisor (GCD) of -34252 and 916 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-8563229\).

Step 6: Convert to Mixed Number

The fraction \(\frac-8563229\) can be written as the mixed number \(-38\frac139229\).

Final Answer

The result of 139/229 subtracted by 152/4 is:

\[ \frac{139}{229} - \frac{152}{4} = -38\frac139229 \]

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: