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FOURTH GRADE / MATHEMATICS / FRACTIONS 1.2

MATHEMATICS IS EASY. PROVIDED THAT ONE WORKS ENOUGH .
ENOUGH IS SKILL DEPENDENT, HAVE TO FIND "ENOUGH" FOR YOUR SIZE.

  FRACTIONS are

   ♦ 
OUR GATEWAY FROM DISCRETE TO CONTINIOUS
   ♦ which PERMIT US TO GET ALMOST a FULL NUMBER LINE;


 without which WE WOULD NEED a CHANGE of UNITS EVERY NOW and THEN.

    Ref.-1
 
1. The sum of a number and its quarter makes 240. Which choice gives this number ?

a) 180
b) 160
c) 196
d) 200
The number should be 4/5 ths of 240 which means it is 48 multiplied by ...
2. Half of the number whose 3/5 ths is 684 is rounded to the nearest ten. Which of the followings should be the outcome ?

a) 205
b) 570
c) 576
d) 680
3/5 ths of 1140 is 684. Half of 1140 is 570. It is already round.
3. How small is the fraction obtained by exchanging (the digits at) ones of the numerator and the denominator of the fraction 47/94 in comparison to the original fraction ?

a) 9/194
b) 1/9
c) 2/17
d) 5/87
The original fraction is equivalent to 1/2. After exchange 44/97 is obtained.
4. The difference of two numbers is 112 and the smaller is 3/10 ths of the bigger. What will be their sum ?

a) 198
b) 108
c) 808
d) 208
7/10 ths of the bigger should be 112 .
5. What should be the result of (2-1/7)+(3+1/8) = ?

a) 279/56
b) 125/32
c) 80/37
d) 28
5-(1/7 - 1/8) = ?
6. The sum of a number, twice this number and 3/5 ths of this number makes 792. Which of the followings is this number ?

a) 44
b) 128
c) 132
d) 220
1 + 2 + 3/5 = ? and ...
7. In 2010 Jane is 20 years old. Her brother's age is 7/10 ths of her age.
What will be the sum of their ages in 2025 ?

a) 44
b) 64
c) 49
d) 69
In 2010 her brother is/was 14 years old.
8. If Kim lives as much as 3/10 ths of her age, she will then be 39 years old.
What should be two thirds of her age by now ?

a) 39
b) 30
c) 20
d) 60
Find first her age .
9. Jim bought a car by paying $ 2400 as 1/25 ths of the whole price. The rest will be paid in 24 equal monthly installments.
How much will an instalment be ?

a) 2400
b) 2600
c) 2200
d) 2500
The total number of all payments is 25. The totality of 24 instalments make 24/25 ths of the price. Each instalment should be also 1/25 ths of the price .
10. Jack bought a pie for his four friends and they ate 3/5 ths of the pie in equal shares. The rest was shared by him, his mother, his father and his sister again in equal shares.
What fraction of the pie is eaten by Jack ?

a) 3/25
b) 1/5
c) 11/50
d) 6/25
With friends he ate 3/25 ths and with family members 1/10 ths .
11. If Jack of question 10 ate the pie with 5 friends how less would he have eaten ?

a) 3/100
b) 1/5
c) 1/50
d) 7/250
with friends he would eat 1/10 ths , with family also .
12. A green grocer has 200 kg. of fruits. He first sells 3/10 ths of this and then 1/5 ths of the rest.
How many kg.s of fruit remains in the grocery ?

a) 105
b) 108
c) 110
d) 112
He first sold 60 kilograms with a rest of 140 .
13. 1/4 ths of all shops of a business center having a total of 160 shops were rented first year. 2/3 rds of the rest were rented the second year. In the third year half of the rest of 2nd year were sold.
How many more shops will be available for rent or sale for the fourth year ?

a) 60
b) 40
c) 30
d) 25
In the first year 40 and the second year another 40 were rented . The third year 40 were sold .
14. 3 roommates bought 2 pizzas each and baked. Then came an additional 4 friends as guests and they all ate with equal share. What will be the fractional amount eaten by one of them ?

a) 3/7
b) 1/3
c) 6/7
d) 3/4
Depends on the unit. If all pizzas are taken as a unit, the share will be 1/7 . No such answer means ...
15. My mother began baking and as she began she had 5 1/4 kg. of flour. She used 2 1/6 kg. of it.
How many kg.s will the rest of the flour be ?

a) 3 and 1/12
b) 3 and 5/12
c) 3 and 1/12
d) 3 and 3/12
5 - 2 = 3 for the integer part. 1/4 - 1/6 for the fractional ... .
16. My mother began baking and as she began she had 5 1/4 kg. of flour. She used 2 kg. of it plus 1/6 ths of 1/6 kg .
How many kg.s will the rest of the flour be. ?

a) 3 and 5/12
b) 3 and 5/24
c) 3 and 1/12
d) 3 and 1/24
5 - 2 = 3 for the integer part . 1/4 - 1/24 for the fractional ... .
17. What should be the value of A if A - 1/4 = 1/3 ?

a) 5/12
b) 5/24
c) 2/3
d) 7/12
A = 1/3 + 1/4 .
18. Jonathan bought 1 kg. of cherry and ate half of it on the way home. His brother ate 1/3 of the rest.
How many grams of cherry must have remained ?

a) 1/3
b) 2/3
c) 333
d) 400
remains asked in grams !
19. 5 + 3/4 + 1/2 = ?

a) 6 + 1/4
b) 3
c) 13/4
d) 7/2
3/4 + 1/2 toplam� 1 tam ve 1/4 eder .
20. 2/5 of a class gets as an optional course folklore while 5/9 gets hand crafts. The rest prefers to solve test questions because of the importance of a GRE like examination they are supposed to take. What is the fraction of test question solvers within the class ?

a) 43/45
b) 2/45
c) 13/177
d) 7/121
The total of the other two gives 43/45 ... .
21. Mrs. Happybuyer went to Wallmart and bought a pullover, an anorak and a bag. 1/25 of her money spent she for taxi, 1/10 for the pulli, 7/50 for the anorak and 7/25 for the bag. She returned home having still $ 220.
What was the amount of her money before she went buying ?

a) 500
b) 450
c) 130
d) 700
The common denominator is 50 !
22. Mr. Calculator intends to use a mortgage loan of $ 150 000. This will be a 10-year term loan, and the ttotal amount of interest will be 2/25 ths of the loan
Could you please help Mr. Calculator by the calculation of the monthly amount of $s he is supposed to pay ?

a) 1500
b) 1350
c) 1300
d) 700
the interest will be $ 12 000 .
23. Which of the followings is not improper fraction ?

a) 15
b) 50/49
c) 495/500
d) 700/17
An Improper fraction has a numerator larger than (or equal to) the denominator.
24. How many seconds are there in 3/5 hours ?

a) 36
b) 360
c) 1800
d) 2160
How many seconds in 36 minutes ?
25. Which one is the least of the numbers that will be added to denominator of 4/7 to obtain an improper fraction ?

a) 3
b) 6
c) -3
d) -2
A negative number should be added .
This is the feedback!
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