topic badge
India
Class VII

Order of operations with fractions II

Lesson

In the chapter Maths in Order, we saw that some operations need to be completed before others.  

The order goes:

Order of operations

Step 1: Do operations inside grouping symbols such as parentheses (...), brackets [...] and braces {...}.

    With fractions, the numerator and denominator are in unwritten brackets, so we work with these first.

Step 2: Do multiplication (including powers) and division (including roots) going from left to right.

Step 3: Do addition and subtraction going from left to right.
 

These rules apply to all of mathematics, yes - even fractions! So order of operations with fractions is just following the normal order of operations, with fractions in the picture. 

Worked Examples

QUESTION 1

Evaluate $5\times\left(\frac{3}{2}+\frac{2}{7}\right)$5×(32+27), writing your answer in its simplest form.

QUESTION 2

Evaluate $4\frac{5}{9}\times3\frac{4}{9}\div\frac{3}{5}$459×349÷​35, writing your answer in its simplest form.

QUESTION 3

Evaluate $\frac{3}{4}\times\left(\frac{10}{9}+\frac{4}{3}\right)$34×(109+43), writing your answer in its simplest form.

 

Outcomes

7.NS.FRN.4

Division of fractions

What is Mathspace

About Mathspace