27/155 subtracted by 148/6 in Fraction Form

The result of 27/155 subtracted by 148/6 is: -25 236/465

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1486\) from \(\frac27155\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 155 and 6 is 930.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac27155\) to \(\frac{162}930\)
Convert \(\frac1486\) to \(\frac{22940}930\)

Step 4: Subtract the Numerators

Subtract the numerators: 162 - 22940 = -22778

Step 5: Simplify the Fraction

We can simplify \(\frac-22778930\) to its lowest form.
The greatest common divisor (GCD) of -22778 and 930 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-11389465\).

Step 6: Convert to Mixed Number

The fraction \(\frac-11389465\) can be written as the mixed number \(-25\frac236465\).

Final Answer

The result of 27/155 subtracted by 148/6 is:

\[ \frac{27}{155} - \frac{148}{6} = -25\frac236465 \]

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: