67/124 subtracted by 135/6 in Fraction Form

The result of 67/124 subtracted by 135/6 is: -22 5/124

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1356\) from \(\frac67124\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 124 and 6 is 372.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac67124\) to \(\frac{201}372\)
Convert \(\frac1356\) to \(\frac{8370}372\)

Step 4: Subtract the Numerators

Subtract the numerators: 201 - 8370 = -8169

Step 5: Simplify the Fraction

We can simplify \(\frac-8169372\) to its lowest form.
The greatest common divisor (GCD) of -8169 and 372 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-2723124\).

Step 6: Convert to Mixed Number

The fraction \(\frac-2723124\) can be written as the mixed number \(-22\frac5124\).

Final Answer

The result of 67/124 subtracted by 135/6 is:

\[ \frac{67}{124} - \frac{135}{6} = -22\frac5124 \]

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: