Question

Simplify the following expressions. 

i. 50 x 5 ÷ 2 + 24 

ii. (13 x 4) ÷ 2 – 26 

iii. 140 ÷ [(-11) x (-3) – (-42) ÷ 14 – 1)] 

iv. {(220 – 140) + [10 x 9 + (-2 x 5) ]} – 100

v. 3/5 + 3/8 ÷ 6/4

Answer 1

i. 50 x 5 ÷ 2 + 24 = 250 ÷ 2 + 24 

= 125 + 24 

= 149

ii. (13 x 4) = 2 – 26 

= 52 ÷ 2 – 26 

= 26 – 26 

= 0

iii. 140 ÷ [(-11) x (-3) – (-42) ÷ 14 – 1)] 

= 140 ÷ [33 + 42 ÷ 14 – 1] 

= 140 ÷ [33 + 3 – 1] 

= 140 ÷ 35 

= 4

iv. {(220 – 140) + [10 x 9 + (-2 x 5) ]} – 100 

= {80 + [90 – 10]} – 100 

= {80 + 80} – 100 

= 160 – 100 

= 60

v. 3/5 + 3/8 ÷ 6/4

= 3/5 + 3/8 x 6/4

= 3/5 + 1/4

= 12/20 + 5/20 = 12 + (5/20) = 17/20