Question

Simplify the expressions: 

i. 45 ÷ 5 + 120 × 4 – 12

ii. ( 3 8 – 8 ) × 2 ÷ 5 + 1 3 

iii. 5/3 + 4/7 ÷ 32/21

iv . 3 × { 4 [ 8 5 + 5 – ( 1 5 – 3 ) ] + 2 }

Answer 1

i. 45 ÷ 5 + 120 x 4 - 12

= 9 + 80 -12

= 89 - 12

= 77

ii. (38 - 8) x 2 ÷ 5 + 13

= 30 x 2 ÷ 5 + 13

= 12 + 13

= 25

iii. 5/3 + 4/7 ÷ 32/21

= 5/3 + 4/7 x 21/32

= 5/3 + 4/7 x 21/32

= 5/3 + 3/8 

= 40/24 + 9/24

= 49/24

iv. 3 x {4[85 + 5 - (15 - 3)] + 2}

= 3 x {4[90 - 5] + 2}

= 3 x {4 x 85 + 2}

= 3 x (340 + 2)

= 3 x 342

= 1026