Still Confused?

Try reviewing these fundamentals first

- Home
- AU Year 5 Maths
- Introduction to Fractions

Still Confused?

Try reviewing these fundamentals first

Nope, got it.

That's the last lesson

Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Intro Lesson: a3:34
- Intro Lesson: b5:59
- Intro Lesson: c5:42
- Intro Lesson: d4:25
- Lesson: 1a2:28
- Lesson: 1b2:42
- Lesson: 1c2:12
- Lesson: 1d2:54
- Lesson: 2a2:17
- Lesson: 2b2:11
- Lesson: 2c2:21
- Lesson: 2d3:02
- Lesson: 3a3:25
- Lesson: 3b3:40
- Lesson: 3c4:24
- Lesson: 3d4:05
- Lesson: 3e4:41
- Lesson: 3f5:29
- Lesson: 4a5:28
- Lesson: 4b3:20
- Lesson: 4c3:33
- Lesson: 4d5:07
- Lesson: 4e7:36
- Lesson: 5a2:42
- Lesson: 5b3:01
- Lesson: 5c3:39
- Lesson: 6a2:42
- Lesson: 6b5:56
- Lesson: 6c4:33
- Lesson: 6d6:34

In this lesson, we will learn:

- How to understand fraction of a number using: models with shapes, models with fraction blocks, and fraction number lines
- The steps for multiplying a fraction with a whole number

- When we are looking for a
**fraction of a number**, we are using**multiplication** - The word “
**of**” in math usually signifies multiplication - We can use
__models with shapes__to find the**fraction of a number**: - Ex. What is $\frac{1}{5}$ of 15?
- Use 15 circles to represent the whole number; divide into 5 equal parts; answer how many circles are in 1 of those parts:

- We can also use
__models with__to find the**fraction blocks****fraction of a number**: - Ex. What is $\frac{2}{3}$ × 5?
- Create a fraction block with 2 of 3 equal parts shaded in. Repeat 5 times.
- There are 10 parts shaded in, each one is worth $\frac{1}{3}$ of a whole.
- Therefore, $\frac{2}{3}$ x 5 = $\frac{10}{3}$ or 3 $\frac{1}{3}$
- We can also use
to find the**number lines****fraction of a number**: - Ex. What is 4 × $\frac{1}{5}$ ?
- Split a line (from 0 to 1) into 5 equal parts, create 4 jumps of 1 part each ($\frac{1}{5}$)

- Generally, the fastest way to find the
**fraction of a number**will be to dowith a whole number using these steps:__fraction multiplication__ - Ex. What is $\frac{6}{18}$ of 24?

Step 1: Put the whole number as a fraction over 1

Step 2: Cross cancel the numbers if possible

Step 3: Multiply the top numbers and then separately multiply the bottom numbers

Step 4: Write your answer in lowest terms

- IntroductionIntroduction to Fraction of a Number:a)Fraction of a number using shapesb)Fraction of a number using fraction blocksc)Fraction of a number using number linesd)The 4 steps for fraction multiplication with a whole number
- 1.
**Number Lines and Fraction of a Number**

Use the number line to complete the multiplication sentence (fill in and/or analyze):a)5 × $\frac{1}{8}$ = ___b)$\frac{2}{5}$ x 6 = ___c)d) - 2.
**Fraction Blocks and Fraction of a Number**

Use fraction blocks to solve for the fraction of each number.a)4 × $\frac{1}{6}$ = ?b)$\frac{2}{3}$ × 6 = ?c)Which model shows the answer to $\frac{1}{9}$ × 5?d)Which model shows the answer to 3 x $\frac{3}{5}$ × 5? - 3.
**Fraction Multiplication for Fraction of a Number**

Use the steps for fraction multiplication to solve.- Hint: (1) put whole number over 1, (2) cross cancel, (3) multiply numerators; multiply denominators, (4) write in lowest terms

a)14 × $\frac{1}{7}$ = ?b)$\frac{3}{11}$ × 11 = ?c)6 × $\frac{4}{5}$ = ?d)$\frac{2}{35}$ × 70 = ?e)48 × $\frac{9}{16}$ = ?f)Ben lives $\frac{53}{24}$ miles away from the mall. Trixie lives 6 times that distance from the mall. How many miles away from the mall does Trixie live? - 4.
**Figuring out Fraction Multiplication Backwards**

Fill in the blanks by working backwards.a)? × $\frac{1}{8}$ = 6b)$\frac{5}{26}$ × ? = $\frac{5}{26}$c)? × $\frac{1}{9}$ = 0d)? × $\frac{3}{4}$ = 6e)$\frac{6}{20}$ × ? = 7$\frac{1}{2}$ - 5.
**Fraction of a Number Picture Problems**

Use the picture. Write the multiplication equation with a fraction and a whole number. Then, solve for the fraction of a number.a)b)c) - 6.
**Fraction of a Number: Word Problem**

Jerry Jepson Elementary School has a population of 380 students. Mrs. Kim's class has 14 girls and 10 boys.a)If $\frac{1}{6}$ of the class is vegetarian, how many students are vegetarian?b)If $\frac{3}{8}$ of the class has siblings, how many students have a brother or sister? How many students are only-children?c)If $\frac{7}{38}$ of the school's students have pets how many students have pets? Out of these pet owners, $\frac{4}{7}$ have dogs as pets; how many students have dogs?d)If $\frac{3}{5}$ of the school wears glasses and $\frac{1}{4}$ of Mrs. Kim's class wears glasses, what is the FRACTION of students wearing glasses in the class compared to the entire school?