Question

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 1

To convert 54/32 to a mixed number, divide 54 by 32, resulting in 1 22/32. The product of one and four thirty-seconds and twenty thirty-seconds is 1/256. To divide one and eight thirty-seconds by twelve thirty-seconds, divide 1 8/32 by 12/32, resulting in 3 40/32. The decimal form of 98 and 6/32 is 98.1875. The percentage increase of an increase of 55 from 1,100 is 5%.

Step-by-step explanation:

To convert 54/32 to a mixed number, we need to divide the numerator (54) by the denominator (32). When we divide 54 by 32, we get a quotient of 1 and a remainder of 22. Therefore, 54/32 as a mixed number is 1 22/32.

To find the product of one and four thirty-seconds and twenty thirty-seconds, we simply multiply the two fractions. 1/32 * 4/32 = 4/1024 = 1/256.

To divide one and eight thirty-seconds by twelve thirty-seconds, we divide the numerator (1 8/32) by the denominator (12/32). When we divide, we get a quotient of 3 and a remainder of 40/32. Therefore, 1 8/32 divided by 12/32 is 3 40/32.

To convert 98 and 6/32 to its decimal form, we simply add the integer part (98) to the decimal part (6/32). Therefore, the decimal form of 98 and 6/32 is 98.1875.

To find the percentage increase, we need to divide the increase (55) by the original value (1,100), and then multiply the result by 100. (55/1,100) * 100 = 5%. Therefore, the percentage increase is 5%.