﻿ Fractions and Decimals Worksheets - Page 6 | Problems & Solutions Fractions and Decimals Worksheets - Page 6

Fractions and Decimals Worksheets
• Page 6
51.
John spent $22.55 for a pair of jeans,$13.60 for a book and $9.34 for a lunch at a mall. Write the decimal number that is equivalent to the fraction of money spent by him for the lunch to the total money spent by him at the mall. a. 0.3 b. 0.23 c. 0.4 d. 0.2 Solution: The total money spent by John in the mall = the money he spent buying a jeans + the money he spent buying a book + the money he spent buying a lunch. = 22.55 + 13.60 + 9.34 [Substitute the values.] =$45.49

The decimal number that is equivalent of the fraction of money spent by him buying a lunch to the total money spent by him in the mall = the money spent by him buying a lunch/the total money spent by him in the mall.

= 9.34 / 45.49
[Substitute the values.]

= 0.20
[Divide.]

52.
A manufacturer found that there were 25 defective units out of the 180 sample units. Find the decimal number which is equivalent to the fraction of the defective units to the total number of sample units. a. 0.33 b. 0.17 c. 0.23 d. 0.13

Solution:

The fraction of defective units to the total number of sample units = (number of defective units) / (the total number of sample units).

= 25180
[Substitute the values.]

= 536
[Divide the numerator and the denominator by their G.C.F, 5.]

= 0.13
[Simplify.]

The decimal number that is equivalent to the fraction of defective units to the total number of sample units is 0.13.

53.
John received a total of $75 commission in two days for selling some cosmetic products. The commission per item is$0.30. Find the number of items he sold on the second day, if his commission on the first day is $30. a. 150 b. 120 c. 200 d. 250 Answer: (a) Correct answer : (1) 54. Joe spent $\frac{1}{3}$ of his money on a shirt and $\frac{2}{3}$ of the remaining money on a pair of jeans. If he is left with$12, how much money did he have before he went for shopping? a. $54 b.$36 c. $45 d.$66

55.
Identify the fractional form of the decimal 0.35 . a. $\frac{7}{20}$ b. $\frac{8}{21}$ c. $\frac{9}{22}$ d. $\frac{4}{11}$

Solution:

0.35 = 35 / 100
[Express decimal as a fraction.]

= 35 ÷ 5100 ÷ 5
[Divide 35 and 100 by the GCF 5.]

= 7 / 20

The simplest fraction for 0.35 is 7 / 20.

56.
The length of a dragonfly is 3.25 inches. Identify the length as an equivalent fraction. a. $3\frac{1}{4}$ inches b. $3\frac{1}{3}$ inches c. $3\frac{3}{4}$ inches d. $3\frac{1}{2}$ inches

Solution:

3.25 = 325100
[Express decimal as a mixed number.]

= 325 ÷ 25100 ÷ 25
[Divide 25 and 100 by the GCF 25.]

= 314

The length of the dragonfly is 31 / 4 inches.

57.
Jake wants to buy a T-shirt worth $46.65. Write the price of the T-shirt as a fraction. a.$$46\frac{15}{22}$ b. $$46\frac{14}{21}$ c.$$46\frac{13}{20}$ d. None of the above

Solution:

46.65 = 4665100
[Express decimal as a mixed number.]

= 4665÷5100÷5
[Divide 65 and 100 by their GCF 5.]

= 461320

The price of the T-shirt is $4613 / 20. Correct answer : (3) 58. There are 10 cakes and $\frac{5}{6}$ of each cake can be served to a person. How many cakes are needed to serve 24 persons? a. 20 cakes b. 30 cakes c. 12 cakes d. 25 cakes Answer: (a) Correct answer : (1) 59. After spending $\frac{1}{3}$ of his salary on clothes and $\frac{1}{5}$ of the remaining on food, Jim is left with$224. Find his salary. a. $1,680 b.$1,120 c. $480 d.$420

60.
Identify an equivalent fraction for 2.325. a. 23$\frac{1}{4}$ b. $2\frac{325}{10000}$ c. $2\frac{13}{40}$ d. $2\frac{325}{100}$

Solution:

2.325 = 23251000
[Convert the decimal part to a fraction.]

= 2325 ÷ 251000 ÷ 25
[Divide the numerator and the denominator by their GCF, 25.]

= 21340

The equivalent fraction for 2.325 is 213 / 40.