Question

Simplify:

(i) (2/3) + (1/6) – (2/9)

(ii) 12 – 3 (1/2)

(iii) 7 (5/6) – 4 (3/8) + 2 (7/12)

Answer 1

(i) Given (2/3) + (1/6) – (2/9)

Taking the LCM of 3, 6 and 9 is 18

Now we have to convert the given fraction into equivalent fraction with denominator 18

(2/3) + (1/6) – (2/9) 

= (12/18) + (3/18) – (4/18)

= (12 + 3 – 4)/18

= 11/18

(ii) Given 12 – 3 (1/2)

First convert the given mixed fraction into improper fraction we get (7/2)

Taking the LCM of 2 and 1 is 2

Now we have to convert the given fraction into equivalent fraction with denominator 2

12 – 3 (1/2) 

= (24/2) – (7/2)

= (24 -7)/2

= (17/2)

(iii) Given 7 (5/6) – 4 (3/8) + 2 (7/12)

First convert the given mixed fraction into improper fraction we get (47/6), (35/8) and (31/12)

Taking the LCM of 12, 6 and 8 is 48

Now we have to convert the given fraction into equivalent fraction with denominator 48

7 (5/6) – 4 (3/8) + 2 (7/12) 

= (47/6) – (35/8) + (31/12)

= (376/48) – (210/48) + (124/48)

= (376 – 210 + 124)/48

= (290/48)

= (145/24)