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- Fifth Class Maths
- Introduction to Fractions

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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
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- Lesson: 3f5:29
- Lesson: 4a5:28
- Lesson: 4b3:20
- Lesson: 4c3:33
- Lesson: 4d5:07
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- 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?