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Determining Common FactorsBasic Math

Determining common multiples- Home
- NZ Year 8 Maths
- Adding and Subtracting Fractions

Still Confused?

Try reviewing these fundamentals first

Basic Math

Divisibility rulesBasic Math

Determining Common FactorsBasic Math

Determining common multiplesStill Confused?

Try reviewing these fundamentals first

Basic Math

Divisibility rulesBasic Math

Determining Common FactorsBasic Math

Determining common multiplesNope, got it.

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Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

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Get Started Now- Intro Lesson: a11:31
- Intro Lesson: b8:10
- Intro Lesson: c11:13
- Lesson: 1a1:40
- Lesson: 1b3:09
- Lesson: 1c2:58
- Lesson: 22:40
- Lesson: 33:45
- Lesson: 4a6:48
- Lesson: 4b4:33
- Lesson: 4c3:59
- Lesson: 4d3:06
- Lesson: 4e1:56
- Lesson: 4f2:46

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.

Related Concepts: Multiplying fractions and whole numbers, Dividing fractions with whole numbers, Multiplying proper fractions

In this lesson, we will learn:

- Adding One-digit Fractions
- Word Problems Involving One-digit Fractions
- Adding Multiple-digit Fractions

- Introductiona)Simplify fractions: Method A - By using greatest common factorsb)Simplify fractions: Method B - By using common factorsc)How to add fractions?
- 1.
**Adding One-digit Fractions**

Add. Then, simplify when possible.a)$\frac{2}{5}+\frac{3}{5}$b)$\frac{3}{4}+\frac{2}{4}$c)$\frac{2}{9}+\frac{1}{9}$ - 2.
**Word Problems Involving One-digit Fractions**

Laura and Mary are making bread for their grandchildren. They have one bag of flour. Laura needs $\frac{2}{4}$ of the bag and Mary needs $\frac{3}{4}$ of the bag. Do they have enough flour to make the bread? Show your work. - 3.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 $\frac{1}{6}$ of a package of glittery beads, $\frac{3}{6}$ of a package of clear beads and $\frac{2}{6}$ of a package of blue beads. Do they have enough beads? Show your work.
- 4.
**Adding Multiple-digit Fractions**

Add. Then, simplify when possible.a)$\frac{12}{84} + \frac{18}{84}$b)$\frac{82}{198} + \frac{113}{198}$c)$\frac{169}{475} + \frac{137}{475}$d)$\frac{173}{198} + (-\frac{101}{198})$e)$\frac{221}{345} + \frac{124}{345}$f)$\frac{13}{140} + \frac{5}{140} + \frac{10}{140}$