simple form
3 ¾ / 60,000=
41 ½ / 3 ¾
A computer can excute 36 instructions per microscecond. How many instructions can it execute in 4 min?
3 ¾ / 60,000 = (15/4)/60,000
= 1/(4*4000)= 1/16,000
41 ½ / 3 ¾ = (83/2)/15/4) = 166/15 = 11.0667
<<A computer can excute 36 instructions per microscecond. How many instructions can it execute in 4 min?>>
36 ops/usec x 4 min x 60 sec/min x 10^6 usec/sec = ?
(36 instructions/microsecond) x (10^6 microseconds/second) x (60 seconds/1 minute) x 4 minutes.
Check my work. The units we don't want should cancel and the units we want to keep should stay. Therefore, the final set of units should be instructions for 4 minutes.
To simplify fractions like 3 ¾ / 60,000 and 41 ½ / 3 ¾, you can follow these steps:
Step 1: Convert mixed numbers to improper fractions (if necessary):
- 3 ¾ can be written as (3 * 4 + 3) / 4 = 15 / 4
- 41 ½ can be written as (41 * 2 + 1) / 2 = 83 / 2
Step 2: Divide the numerator by the denominator:
- For 3 ¾ / 60,000: (15 / 4) / 60,000 = 15 / (4 * 60,000) = 15 / 240,000 = 1 / 16,000
- For 41 ½ / 3 ¾: (83 / 2) / (15 / 4) = (83 / 2) * (4 / 15) = 332 / 30
Regarding the second question, we are given that a computer can execute 36 instructions per microsecond. To find out how many instructions it can execute in 4 minutes, follow these steps:
Step 1: Convert 4 minutes to microseconds:
- Since there are 60 seconds in a minute and 1 million microseconds in a second, there are 4 * 60 * 1,000,000 = 240,000,000 microseconds in 4 minutes.
Step 2: Multiply the number of microseconds by the number of instructions per microsecond:
- 240,000,000 microseconds * 36 instructions/microsecond = 8,640,000,000 instructions
Therefore, the computer can execute 8,640,000,000 instructions in 4 minutes.