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%

Answer and Explanation:

The computation is shown below:

The thirty seconds in the case of quoting the price of the bond in the jargon is 1 ÷ 32

1. The 54 ÷ 32 be converted to a mixed number i.e.

= 32 × 1 + 22

= 54

The above represents the dividend

Here the quotient should be remaining left on the top and the divisor should be at the bottom

So it would be 1 22 ÷ 32

2. The product of one and four thirty second and twenty seconds is

= (1 + 4 ÷ 32) × (20 ÷ 32)

= (36 ÷ 32) × (20 ÷ 32)

= 45 ÷ 64

3. One and eight thirty seconds divided by twelve thirty seconds, So

= (1 +8 ÷ 32) ÷ (12 ÷ 32)

= (40 ÷ 32) ÷ (12 ÷ 32)

= 10 ÷ 3

= 3 1 ÷ 3

4. Now treasury bond converted into decimal would be

= 98 + 6 ÷ 32

= 98.1875

= 98.19

5. The percentage increase is

= 55 ÷ 1,100 × 100

= 5%

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