15/28 subtracted by 2/3 in Fraction Form

The result of 15/28 subtracted by 2/3 is: -11/84

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{2}{3}$ from $\frac{1}{5} 28$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 28 and 3 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{5} 28$ to $\frac{45}{8} 4$
Convert $\frac{2}{3}$ to $\frac{56}{8} 4$

Step 4: Subtract the Numerators

Subtract the numerators: 45 - 56 = -11

Final Answer

The result of 15/28 subtracted by 2/3 is:

\frac{15}{28} - \frac{2}{3} = \frac{-}{1} 184

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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: