67/349 subtracted by 25/4 in Fraction Form

The result of 67/349 subtracted by 25/4 is: -7 1315/1396

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac254\) from \(\frac67349\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 349 and 4 is 1396.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac67349\) to \(\frac{268}1396\)
Convert \(\frac254\) to \(\frac{8725}1396\)

Step 4: Subtract the Numerators

Subtract the numerators: 268 - 8725 = -8457

Step 5: Convert to Mixed Number

The fraction \(\frac-84571396\) can be written as the mixed number \(-7\frac13151396\).

Final Answer

The result of 67/349 subtracted by 25/4 is:

\[ \frac{67}{349} - \frac{25}{4} = -7\frac13151396 \]

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: