Subtraction with Unlike Denominators Lesson 6.2 Solution Guide

Start by identifying the least common denominator (LCD) for the fractions involved. To subtract fractions with different denominators, you first need to convert them into equivalent fractions with a common denominator. Find the least common multiple (LCM) of the two denominators to determine the LCD.

Once the fractions have the same denominator, adjust the numerators accordingly. For example, if you multiply the first fraction’s denominator by 3, do the same for its numerator. Afterward, subtract the numerators while keeping the denominator unchanged.

Finally, simplify the result if possible. If the numerator and denominator share a common factor, divide both by that factor to reduce the fraction to its simplest form. This step ensures the solution is expressed in the most concise way.