Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day?
1 answer:
Answer:
He will read 72 chapters in 1 day
Step-by-step explanation:
Let us use the ratio method to solve this question
∵ Sam read 6 chapters in 2 hours
∵ He continues to read at this same rate for 1 day
→ We must change the day to hours
∵ 1 day = 24 hours
∴ We need to find how many chapters he will read in 24 hours
→ Chapter : Hour
→ 6 : 2
→ x : 24
→ By using cross multiplication
∵ x × 2 = 6 × 24
∴ 2x = 144
→ Divide both sides by 2
∵ =
∴ x = 72
∴ He will read 72 chapters in 1 day
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Since these questions all require similar methods of solving, I will only completely work out the first question of each type.
2. To find
as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.
= 7 / 10 = 0.7
as a decimal is 0.7.
3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.
Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.
0.65 = 65%
which is the answer to question 3.
written as a percent is 65%.
4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.
2%5 =
Since 25 goes into 100 four times, we can simplify this fraction.
which is our answer.
25% written as a fraction is
.
5. This is the same as problem 3, so I won't show my work for the sake of time.
as a percentage is 40%.
6. This is the same as problem 1, so I will not show steps again.
as a decimal is 0.15.
7. Done similar problems in past. No work shown.
as a percent is 42%.
8. Same as last problem.
as a percent is 4%.
9. Same as number 4.
6% as a fraction is
.
10. Similar in past.
as a percentage is 60%.
11. Same as 6.
as a decimal is 0.48.
12. Done a lot of these so far.
as a percentage is 30%.
13. Just did one like this.
as a percentage is 75%.
14. Same as 4 and 9.
65% as a fraction is.
15. Plenty of these done in past.
as a percentage is 20%.
16. Last problem, and it's just like the one just before this.
written as a percent is 90%.
So there are the results.
Hope that helped! =)
2. To find
3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.
Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.
0.65 = 65%
which is the answer to question 3.
4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.
2%5 =
Since 25 goes into 100 four times, we can simplify this fraction.
which is our answer.
25% written as a fraction is
5. This is the same as problem 3, so I won't show my work for the sake of time.
6. This is the same as problem 1, so I will not show steps again.
7. Done similar problems in past. No work shown.
8. Same as last problem.
9. Same as number 4.
6% as a fraction is
10. Similar in past.
11. Same as 6.
12. Done a lot of these so far.
13. Just did one like this.
14. Same as 4 and 9.
65% as a fraction is
15. Plenty of these done in past.
16. Last problem, and it's just like the one just before this.
So there are the results.
Hope that helped! =)