It Took Nick Five-Thirds Of An Hour To Complete His Math Homework On Monday, Three-Fourths Of An Hou

It took Nick five-thirds of an hour to complete his math homework on Monday, three-fourths of an hour on Tuesday, and five-sixths of an hour on Wednesday. How many hours did he take to complete his homework altogether?

A. what information is given in the problem?

b. What is being asked for?

c. how do you plan to answer the question

d. execute the plan abd identify the answer

 

Answer:

5/6 + 5/3 + 3/4 = 13/ 4 = 3 1/ 4 = 3.25

Step-by-step explanation:

Add: 5/

6

+ 5/

3

= 5/

6

+ 5 · 2/

3 · 2

= 5/

6

+ 10/

6

= 5 + 10/

6

= 15/

6

= 3 · 5/

3 · 2

= 5/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 3 = 18. In the following intermediate step, cancel by a common factor of 3 gives 5/

2

.

In other words - five sixths plus five thirds = five halfs.

Add: the result of step No. 1 + 3/

4

= 5/

2

+ 3/

4

= 5 · 2/

2 · 2

+ 3/

4

= 10/

4

+ 3/

4

= 10 + 3/

4

= 13/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - five halfs plus three quarters = thirteen quarters.