2/152 subtracted by 166/3 in Fraction Form

The result of 2/152 subtracted by 166/3 is: -56 155/228

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1663\) from \(\frac2152\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 152 and 3 is 456.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac2152\) to \(\frac{6}456\)
Convert \(\frac1663\) to \(\frac{25232}456\)

Step 4: Subtract the Numerators

Subtract the numerators: 6 - 25232 = -25226

Step 5: Simplify the Fraction

We can simplify \(\frac-25226456\) to its lowest form.
The greatest common divisor (GCD) of -25226 and 456 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-12613228\).

Step 6: Convert to Mixed Number

The fraction \(\frac-12613228\) can be written as the mixed number \(-56\frac155228\).

Final Answer

The result of 2/152 subtracted by 166/3 is:

\[ \frac{2}{152} - \frac{166}{3} = -56\frac155228 \]

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: