Category: 03. Add and Subtract Fractions

Definition A complete or whole circle is taken as 1 and parts of the circles are represented as fractions. For example, if a circle is divided into 8 equal parts, each of the parts represents the fraction 1/8. Three parts of such a circle would represent 3/8 and on.Here we are dealing with a type…

Problem 1: Jamie bought a box of fruit weighing 32525 kilograms. If she bought a second box that weighed 71313 kilograms, what is the combined weight of both boxes? Solution Step 1: Weight of the first box of fruit = 32525 kilograms Weight of the second box of fruit = 71313 kilograms The combined of the two boxes of…

Introduction When we have addition or subtraction of fractions with unlike denominators, we first find the Least Common Denominator (LCD) of the fractions. We then rewrite all fractions as equivalent fractions with LCD as the denominator. Now that all denominators are alike, we add or subtract the numerators and put the result over the common…

Definition When the denominators of any fractions are unequal or are different those fractions are called unlike fractions. Operations like addition and subtraction cannot be done directly on unlike fractions. These unlike fractions are first converted into like fractions by finding the least common denominator of these fractions and rewriting the fractions into equivalent fractions…

Definition A unit fraction is a fraction where the numerator is always one and the denominator is a positive integer. Addition or subtraction of unit fractions can be of two types; one, where the denominators are same; two, where the denominators are different.Rules for Addition of unit fractions Rules for Subtraction of unit fractions Problem…

Definition When we add or subtract fractions, their denominators need to be same or common. If they are different, we need to find the LCD (least common denominator) of the fractions before we add or subtract. To find the LCD of the fractions, we find the least common multiple (LCM) of their denominators. LCD can…

Adding like fractions and simplification − Formula If fractions with same denominators are to be added, we add the numerators only and keep the same denominator. If necessary, we simplify the resulting fraction to lowest terms. Subtracting like fractions and simplification − Formula If fractions with same denominators are to be subtracted, we subtract the…

Definition Fractions that have exact same denominators are called like fractions. Fractions such as 1515 and 4545 are like fractions because they have a common denominator 5. In other words, fractions with like denominators are categorized as like fractions. Performing any mathematical operations on like fractions is comparatively easier as we can make use of the common denominator for fraction operations…