Deck 1: Fraction and Decimals

Question 1

Convert the following mixed numbers to fractions.

Answer 1

is called the numerator, and is the denominator. For example is a fraction.
Mixed number: A mixed number combines a whole number with a fraction. For example is a mixed number.
We need to convert the mixed number into a fraction.
Here the whole number is 3.
In order to convert a mixed number to a fraction,
Step1: Take the product between the whole number and the denominator of the fraction.
Here we have the denominator as 5. Step2: Add the numerator in the mixed number with the product obtained from step1. Step3: Write the sum from the previous step as the numerator without changing the denominator. Thus we will have a fraction .
Therefore, .

Question 2

Find the least common denominator for each set of fractions, and then use the common denominator to write equivalent fractions.

Answer 2

A common denominator is any number which is a multiple of all the denominators in a group of fractions.
To find the LCD of .
List the common multiples of the denominators in the fraction.
Take the number 4. The first few multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 and 60.
Now, take the number 6. The first few multiples of 6 are 6, 12, 18, 24, 30 and 36.
The numbers 12, 24 and 36 appear on all the lists. These are common denominators.
12 is the smallest in the list. Hence the LCD is 12.
Now, convert both the fractions into equivalent forms with the LCD as the denominator.
Divide the LCD by the denominator of the fraction.
Multiply the denominator of the fraction with a quotient obtained above.
That is, Hence .
Similarly, Hence .

Question 3

Perform the following calculations. Give the answer in the proper form.

Answer 3

To perform .
In order to perform the subtraction, convert the mixed number into an improper fraction. Note that the denominator in the fractions are the same.
The denominator is 5.
Now subtract the numerators. The result would be the fraction obtained with the numerator being the above number with the common denominator.
Hence the result will be .

Question 4

Place , , or = between the following pairs of decimals to make a true statement.
0.017 0.09

Question 5

Round to the nearest whole number.
12.185

Question 6

Perform the following calculations. Give the answer in the proper form.

Question 7

Round to the nearest hundredth.
46.001

Question 8

Convert the following decimals to fractions. Reduce the answers to lowest terms.
3.5

Question 9

Perform the following calculations.
2.2 ÷ 0.11

Question 10

Insert , , or = to make a true statement, where means less than, means greater than, and = means equal to.
a. 1
b. 1
c. 1

Question 11

Find three equivalent fractions for each of the following.

Question 12

Find the missing numerator in the following equations:

Question 13

Reduce the following fractions to their lowest terms.

Question 14

For each set of fractions, find the least common denominator. Then convert each fraction to an equivalent fraction with the LCD.

Question 15

Insert , , or = to make a true statement.

Question 16

Place in order from largest to smallest.
You want to prepare 150 units of a solution that consists of 25 units of medication mixed with 125 units of water. You find an already prepared solution that has 1 unit of medication for every 5 units of water. Can you use 150 units of the already prepared solution? Explain your answer.

Question 17

Find the following sums. (Rewrite answers in the proper form.)

Question 18

Find the following differences.

Question 19

Find the following differences.

Question 20

Find the following products. (Rewrite answers in the proper form.)

Question 21

Find the following quotients. (Rewrite the answers in proper form.)

Question 22

Find the following quotients. (Rewrite the answers in proper form.)

Question 23

Place or between each pair of decimals to make a true statement.
4.27 4.02

Question 24

Round to the nearest tenth.
1.007

Question 25

Convert the following numbers into decimals. Where necessary, round to the nearest thousandth.

Question 26

Convert the following numbers into decimals. Where necessary, round to the nearest thousandth.

Question 27

Add or subtract the following pairs of numbers.
13.561 + 0.099

Question 28

Add or subtract the following pairs of numbers.
70.22 ? 4.23

Question 29

Multiply the following numbers.
12 × 0.09

Question 30

Divide the following numbers. When, necessary, round to the nearest thousandth.
0.32 ÷ 0.8

Question 31

Convert the following mixed numbers to fractions.

Question 32

Reduce the following fractions to their lowest terms. Convert improper fractions to mixed numbers when necessary.

Question 33

Place , , or = between the following pairs of fractions to make a true statement.

Question 34

Perform the following calculations. Give the answer in the proper form.

Question 35

Perform the following calculations. Give the answer in the proper form.

Question 36

Perform the following calculations.
1.86 ÷ 0.3

Question 37

Round to the nearest hundredth.
9.885

Question 38

Convert the following decimals to fractions. Reduce the answers to lowest terms.
1.001

Question 39

Perform the following calculations.
1.4 ÷ 0.07

Question 40

Convert the following fractions to mixed or whole numbers.

Question 41

Find three equivalent fractions for each of the following.

Question 42

Find the missing numerator in the following equations:

Question 43

Reduce the following fractions to their lowest terms.

Question 44

For each set of fractions, find the least common denominator. Then convert each fraction to an equivalent fraction with the LCD.

Question 45

Insert , , or = to make a true statement.

Question 46

Place in order from largest to smallest.
Of 12 patients in the north wing, 8 have high blood pressure. Of 15 patients in the east wing, 9 have high blood pressure. Which wing has a larger portion of patients with high blood pressure?

Question 47

Find the following sums. (Rewrite answers in the proper form.)

Question 48

Find the following differences.

Question 49

Find the following differences.
You give a patient cup (c) of juice, but he only drinks c. How much juice remains?

Question 50

Find the following products. (Rewrite answers in the proper form.)

Question 51

Find the following quotients. (Rewrite the answers in proper form.)

Question 52

Find the following quotients. (Rewrite the answers in proper form.)

Question 53

Place or between each pair of decimals to make a true statement.
12.25 12.18

Question 54

Round to the nearest tenth.
0.2083

Question 55

Convert the following numbers into decimals. Where necessary, round to the nearest thousandth.

Question 56

Convert the following numbers into decimals. Where necessary, round to the nearest thousandth.

Question 57

Add or subtract the following pairs of numbers.
24.102 + 2.410

Question 58

Add or subtract the following pairs of numbers.
526.10 ? 7.41

Question 59

Multiply the following numbers.
0.004 × 15.5

Question 60

Divide the following numbers. When, necessary, round to the nearest thousandth.
0.05 ÷ 4

Question 61

Convert the following mixed numbers to fractions.

Question 62

Find the least common denominator for each set of fractions, and then use the common denominator to write equivalent fractions.

Question 63

Perform the following calculations. Give the answer in the proper form.

Question 64

Place , , or = between the following pairs of decimals to make a true statement.
3.092 3.27

Question 65

Round to the nearest whole number.
1.518

Question 66

Perform the following calculations. Give the answer in the proper form.

Question 67

Round to the nearest tenth.
4.34

Question 68

Perform the following calculations.
7.23 + 12.38

Question 69

Perform the following calculations.
A medical unit has 18 patients. Eight have type O blood. Five have type A blood. Two have type AB blood. Three have type B blood. Write the fractions that describe the portions of the medical unit patients that have each blood type.

Question 70

Convert the following fractions to mixed or whole numbers.

Question 71

Find three equivalent fractions for each of the following.

Question 72

Find the missing numerator in the following equations:

Question 73

Reduce the following fractions to their lowest terms.

Question 74

For each set of fractions, find the least common denominator. Then convert each fraction to an equivalent fraction with the LCD.

Question 75

Insert , , or = to make a true statement. 2

Question 76

Place in order from largest to smallest.
You give George his medication once every 8 hours (h). You give Martha the same medication 4 times a day. Who receives medication more often? (In this problem, a day means 24 h.)

Question 77

Find the following sums. (Rewrite answers in the proper form.)

Question 78

Find the following differences.

Question 79

Find the following differences.
You give a patient c of water to drink before supper. When you bring in the meal, you see that c remains in the glass. How much water did the patient drink?

Question 80

Find the following products. (Rewrite answers in the proper form.)