In this section, we will add fractions with like denominators using addition statements. When adding fractions with like denominators, the numerators are added together to get the sum of the parts; however, the denominators stay the same. We will write our answers in lowest terms by first finding the greatest common factor (GCF) of both the numerator and denominator and then dividing the numerator and denominator by this GCF. Finally, we will solve word problems involving the addition of fractions with like denominators. We will make these word problems easier to visualize by incorporating diagrams.
Simplify fractions: Method A - By using greatest common factors
Simplify fractions: Method B - By using common factors
How to add fractions?
Add. Then, simplify when possible.
Laura and Mary are making bread for their grandchildren. They have one bag of flour. Laura needs 42 of the bag and Mary needs 43 of the bag. Do they have enough flour to make the bread? Show your work.
Abby and her 2 friends are each making one necklace. They are sharing one package each of glittery beads, clear beads and blue beads. For each necklace, they need 61 of a package of glittery beads, 63 of a package of clear beads and 62 of a package of blue beads. Do they have enough beads? Show your work.