Expression Simplification Examples 1

In this class, we discuss Expression Simplification Examples 1.

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The reader should have prior knowledge of expression simplification rules. Click Here.

Example 1:

108÷36 of 1/4 + 2/5 * 13/4

In BODMAS rules, we have to evaluate ‘of’ first

36 of 1/4 = 36 * 1/4 = 9

108÷9 + 2/5 * 13/4

The first division, then multiplication

12 + 13/10

= 133/10

Example 2:

9 – 1 2/9 of 36/11 ÷ 5 1/7 of 7/9 =?

After changing the values 1 2/9 and 5 1/7, we get 9 – 11/9 of 36/11 ÷ 39/7 of 7/9

‘of’ should be evaluated

11/9 of 36/11 = 11/9 * 36/11 = 4

39/7 of 7/9 = 4

9 – 4 ÷ 4

= 9-1

=8

Example 3:

4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8.

What is half of that number?

Solution:

let the number be x

4/15 of 5/7 of x is our first number

4/9 of 2/5 of x is our second number

From statement (4/15 of 5/7 of x) – (4/9 of 2/5 of x) = 8

(4/15 * 5/7 * x) – (4/9 * 2/5 * x) = 8

4x/21 – 8x/45 = 8

x[4/21 – 8/45] =8

x = 630

x/2 = 315