 Multiplying and dividing negative fractions

Lesson

We have already done a lot of questions and chapters involving Multiplying (Parts of Parts I, Parts of Parts 2) and Dividing (Dividing Parts I and Dividing Parts II). This chapter will give you practice on multiplying and dividing but with negative fractions thrown into the mix.  All the rules you have learnt still apply.

Multiplying Fractions

1. Change any mixed fractions to improper first
2. Multiply the numerators
3. Multiply the denominators
4. Simplify if possible

Dividing Fractions

1. Change any mixed fractions to improper first.
2. Change the division into a multiplication of the reciprocal
3. Multiply the numerators
4. Multiply the denominators
5. Simplify if possible

Rules for Multiplying and Dividing with Negative Numbers Worked Examples

QUESTION 1

Evaluate $9\times\left(-\frac{4}{5}\right)$9×(45), giving your answer in simplest form.

QUESTION 2

Evaluate $\left(-\frac{45}{4}\right)\div\frac{9}{28}$(454)÷​928, giving your answer in simplest form.

QUESTION 3

Evaluate $\left(-5\frac{6}{7}\right)\div5\frac{1}{2}$(567)÷​512, writing your answer in its simplest form.

Outcomes

9D.NA2.01

Simplify numerical expressions involving integers and rational numbers, with and without the use of technology