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Basic Math

Determining Common FactorsBasic Math

Determining common multiplesBasic Math

Multiplying fractions and whole numbers- Home
- AU Maths Extension 1
- Multiplying and Dividing Fractions

Still Confused?

Try reviewing these fundamentals first

Basic Math

Determining Common FactorsBasic Math

Determining common multiplesBasic Math

Multiplying fractions and whole numbersStill Confused?

Try reviewing these fundamentals first

Basic Math

Determining Common FactorsBasic Math

Determining common multiplesBasic Math

Multiplying fractions and whole numbersNope, got it.

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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: c9:44
- Intro Lesson: d8:44
- Lesson: 1a1:06
- Lesson: 1b1:23
- Lesson: 1c1:15
- Lesson: 2a2:19
- Lesson: 2b1:29

Unlike the previous sections, this section will only deal with multiplications with fractions only, specifically proper fractions. To do so, we will need to multiply the numerators together and then the denominators together. We also will learn the trick of simplifying fractions in order to reduce the answers to the lowest form.

Basic Concepts: Determining Common Factors, Determining common multiples, Multiplying fractions and whole numbers

Related Concepts: Comparing and ordering rational numbers, Solving problems with rational numbers in fraction form, Solving two-step linear equations: $ax + b = c$, ${x \over a} + b = c$

In this lesson, we will learn:

- Multiplying Single-digit Proper Fractions
- Word Problems: Multiplying Proper Fractions
- Multiplying Proper Fractions Involving Multiple-digit Numbers and Negative Numbers

- Proper fractions:
- Fractions in which the values of the numerators are less than that of the denominators.
- Fractions that are greater than 0 but less than 1.
- The product of two proper fractions must also be a proper fraction.

- Introductiona)Simplify fractions: Method A - By using greatest common factorsb)Simplify fractions: Method B - By using common factorsc)How to multiply fractions with cross-cancelling?d)How to multiply proper fractions?
- 1.
**Multiplying Single-digit Proper Fractions**

Estimate and solve. Give the answers in the lowest form.a)$\frac{1}{4} \times \frac{3}{4}$b)$\frac{2}{7} \times \frac{5}{8}$c)$\frac{5}{7} \times \frac{7}{{10}}$ - 2.
**Word Problems: Multiplying Proper Fractions**

In April last year, $\frac{2}{5}$ of the month has records of rainfall. $\frac{1}{4}$ of these rainy days fell on weekends.a)What fraction of rainfall happened on weekends in April last year?b)How many of these rainy days were on weekends?

We have over 1640 practice questions in AU Maths Extension 1 for you to master.

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