# Fractions + rational numbers - math problems

1. The fastest The fastest boat can reach speeds more than 710% as fast as the Queen Mary 2. How would you express this number as a fraction and as a decimal?
2. Barrel Barrel of wine is filled by 9/14. What part of the barrel will remain filled when 1/4 of the wine we pour from the barrel? Why does 1 3/4 + 2 9/10 equal 4.65? How do you solve this?
4. Find the 11 Find the quotient of 229.12 and 12.32
5. Reduce to lowest terms Reduce to lowest terms : 32/124
6. Boats Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
7. Equivalent expressions A coach took his team out for pizza after their last game. There were 14 players, so they had to sit in smaller groups at different tables. Six players sat at one table and got 4 small pizzas to share equally. The other players sat at the different table
8. What is one third What is 1/3 as a decimal? Give your answer rounded to 2 decimal places.
9. Comparing and sorting Arrange in descending order this fractions: 2/7, 7/10 & 1/2
10. My father My father has a big farm. 6/8 of it were planted with mango trees, 1/2 of the remainder are guava trees and the rest 10 trees are santol trees. What is the number of all trees?
11. To improper fraction Change mixed number to improper fraction a) 1 2/15 b) -2 15/17
12. Regrouping Subtract mixed number with regrouping: 11 17/20- 6 19/20
13. Simplify 3 Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution.
14. Mixed numbers Rewrite mixed numbers so the fractions have the same denominator: 5 1/5 - 2 2/3
15. Ratio - proportion Reduce the number 16 in proportion 3:2 5:4 11:8
16. Infinite decimal Imagine the infinite decimal number 0.99999999 .. ... ... ... That is a decimal and her endless serie of nines. Determine how much this number is less than the number 1. Thank you in advance.
17. Package The package was 23 meters of textile. The first day sold 12.3 meters. How many meters of textile remained in the package?
18. Paper collecting At the paper collecting contest gathered Franta 2/9 ton, Karel 1/4 ton, and Patrick 19/36 tons of paper. Who has gathered the most and the least?
19. Rolls Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls left when Peter yet put two at dinner?
20. Decimal to fraction Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures.

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