Question

A)Natalie has read 3/4 of a book that is 120 pages long. How many pages does she have left to read?

b) What is: one half of 45?

c) What is: one third of 50?

d) What is one half of 1/4 ?

e) what is one third of 73

f) What is: one third of 1/3 ?

g) what is one third of 1/9?

Please help! I think I know but somehow, my answers are all wrong. 20 points

Answer 1

A) (1/4)*120=
B) 22.5 or 22 1/2
C)1/3*50=16.67
D)0.125
E)1/3*70=24.33
F)1/9
G)0.37

Answer 2

a) 30 pages b) 22.5 or 45/2 c)50/3 or 16.67 d) 1/8 e) 73/3 or 24.33 f)1/9 g) 1/27

Explanation:

a) If Natalie has read 3/4 then all that's left is 1/4 of the book to read a whole book since 3/4+1/4=4/4=1

1/4 of 120=30 pages

b) One half of 45 is the same as dividing it by two or multiplying by 1/2.

1/2*45=45/2 =22.5

c) One third of 50, is the same of multplying by 1/3 then 1/3*50≈16.67

d) Take a look back at letter b. One half (1/2) of 1/4 is :

`(1)/(2)*(1)/(4)=(1)/(8)`

e) One third of something, is 1/3 times something like previous cases above so 1/3*73=73/3≈24.33

f) One third of One third, is 1/3 times 1/3:

`(1)/(3)*(1)/(3)=(1)/(9)`

g) One third of 1/9 is 1/3 times 1/9:

`(1)/(3)*(1)/(9)=(1)/(27)`

Do not forget the rules of multiplying fractions. Numerator times Numerator, Denominator times Denominator. When we read a third, half,.. of this means one half times