Question

100 POINTS EASIEST QUESTIONS THIS TIME NO JOKE LAST ONE

100 POINTS



Focus on questions 24 and 17

Topic: Multiplying and dividing fractions

Answer 1

24a )
`(7)/(8)`

24b)
`1(4)/(5)`

17) 84 hours

Explanation:

24a)
`(1)/(2) *(3)/(4) +(3)/(2) *(1)/(3)`

Using BIDMAS

B = Brackets

I = Indices

D = Division

M = Multiplication

A = Addition

S = Subtraction

⇒ The first step is multiplication so,

→
`(1)/(2) *(3)/(4) +(3)/(2) *(1)/(3)` =
`(3)/(8) +(3)/(6)` =
`(3)/(8) +(3)/(6) =(9)/(24) +(12)/(24) =(21)/(24) =(7)/(8)`

24b)
`1(1)/(2) / (1(1)/(2) -(2)/(3) )`

⇒ The first step is the brackets so

→
`1(1)/(2) / (1(1)/(2) -(2)/(3) )` =
`1(1)/(2) -(2)/(3) =1(3)/(6) -(4)/(6) =(9)/(6) -(4)/(6) =(5)/(6)`

⇒ Then we divide
`(5)/(6)` by
`1(1)/(2)`

→
`1(1)/(2) / (5)/(6) =(3)/(2) /(5)/(6) =(3)/(2)*(6)/(5) =(18)/(10) =1(8)/(10) =1(4)/(5)`

17)
`3(1)/(2)` = 3.5 days

1 day = 24 hours

0.5 days = 12 hours so,

( 24 × 3 ) + 12 = 72 + 12 = 84

Answer 2

24. a) ⅞ b) 1⅘

17. 36

Explanation:

24.

a) ½ × ¾ + 3/2 × ⅓

3/8 + 1/2

(3 + 4×1)/8

7/8

b) 1½ ÷ (1½ - ⅔)

3/2 ÷ (3/2 - 2/3)

3/2 ÷ (3×3 - 2×2)/6

3/2 ÷ 5/6

3/2 × 6/5

18/10

1 8/10

1⅘

17. 1 day = 24 hours

1.5 days = 1.5× 24= 36 hours