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Concept check 1. 54/32 converted to a mixed number is ________. 22/32 1.6875 1/38 1 22/32 2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. 1 24/32 45/64 56/32 720 3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. 480/1024 20/1024 3 1/3 3 40/32 4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. 98.19 96.63 9/86 98.06 5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? 4.5% 5% 55% 5.5%

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Questions

Concept check

1. 54/32 converted to a mixed number is ________.a) 22/32 b)1.6875 c) 1/38 d)1 22/32

2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. a)1 24/32 b)45/64 c)56/32 d)720

3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. a)480/1024 20/1024 3 1/3 3 40/32

4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. a)98.19 b)96.63 c)9/86 d)98.06

5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? a)4.5% b)5% c)55% d)5.5%

Answer:

1.d)1 22/32

2. b)45/64

3. c)3 1/3

4. a)98.19

5. b)5%

Explanation:

1. 54/32 converted to a mixed number is ________.a) 22/32 b)1.6875 c) 1/38 d)1 22/32

Mixed number is another way of writing improper fraction

54/32= 1 (54 - 32)/32

= 1 22/32

Therefore, option d) 1 22/32 is the correct option

2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. a)1 24/32 b)45/64 c)56/32

d)720

One and four thirty-seconds = 1 4/32

Twenty thirty-seconds = 20/32

= 1 4/32 × 20/32

= 36/32 × 20/32

= 9/8 × 5/8

= 45/64

Therefore, option b)45/64 is the correct option

3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. a)480/1024 b)20/1024 c)3 1/3 d)3 40/32

One and eight thirty-seconds = 1 8/32

Twelve thirty-seconds = 12/32

= 1 8/32 ÷ 12/32

= 40/32 ÷ 12/32

= 40/32 × 32/12

= 40/12

= 3 4/12

= 3 1/3

Therefore, option c) 3 1/3 is the correct option

4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. a)98.19 b)96.63 c)9/86 d)98.06

98 and 6/32 = 98 + 6/32

We convert 6/32 to decimal

= 98 + 0.1875

= 98.1875

≈ 98.19

Therefore, Option a is the correct option

5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? a)4.5% b)5% c)55% d)5.5%

Percentage increase = Increase/ Orginal amount × 100

Increase = 55 points

Original amount = 1,100

Percentage Increase = 55/1100 × 100

= 0.05 × 100

= 5%

Therefore, option b)5% is the correct option

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