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Grade 6 Mathematics Online Lessons on Fractions

FRACTIONS
1. Least Common Multiple (LCM)
2. Addition and subtraction of fractions using LCM
3. Addition and subtraction of mixed numbers
4. Reciprocals
5. Squares of fractions
6. Equivalent fractions
7. Conversion of Percentages into fractions
8. Conversion of fractions into percentages

Lessons (44)

1. Find the LCM of each of the following groups of numbers.a) 4 and 8b) 10 and 15c) 10, 12 and 15d) 24, 20 and 25
10m 39s
2. What is the smallest number which is divisible by 6, 9 and 15 without a reminder?
3m 14s
3. What is the shortest possible length of a rope from which equal pieces of ropes measuring 15 cm, 20 cm and 40 cm can be cut?
2m 32s
4. Three light signals flash at intervals of 12 seconds, 18 seconds and 20 seconds. If the signals are set to flash together, how long will they take to flash together?
2m 50s
5. Find the least number that is divisible by 15, 18 and 30.
1m 53s
6. Find the square of each of the following.a) #1/6#b) #5/12#
1m 20s
7. Work out:a) #(3/7)^2#b) #(12/17)^2#
1m 25s
8. Find the square of each of the following:a) 2#1/8#b) 5#11/12#
5m 50s
9. What is the area of the square below?
2m 13s
10. The length of a square room is #7/25# cm. What is its area in #m^2#?
3m 37s
11. Find the reciprocal of the following.a) #1/2#b) #13/15#c) #8/37#d) #12/56#e) 4f) 10
3m 56s
12. Give an equivalent fraction for each of the following with 100 as a denominator.a) #1/2#b) #15/25#c) #16/50#
2m 43s
13. Convert the following into percentages.a) #1/4#b) #93/100#c) #5/10#d) #3/7#
2m 4s
14. Dennis ate #2/3# of an apple. What percentage of the apple did he eat?
1m 29s
15. Neema read #5/6# of a story book. What percentage of the storybook did she read?
1m 55s
16. Boru sold #4/5# of his cows. What percentage of his cows remained?
2m 7s
17. Work out each of the following fractions.a) #2/3# + #1/6#b) #2/9# + #7/12#
3m 44s
18. Work out:#3/8 + 2/5 + 1/4#
2m 51s
19. What is the sum of #5/9# and #1/4#?
2m 13s
20. Nelima bought #4/15# kg of beef and #5/12# kg of mutton. If they wrapped together, what was the total mass of the meat?
3m 2s
21. Abdi used #3/7# litres of water to make porridge and #5/9# litres to prepare food. How much water in litres did he use altogether?
3m 12s
22. Ravine ate #7/12# of a pineapple. Her sister Wambura ate #1/7# of the pineapple. What fraction of the pineapple did they eat altogether?
3m 31s
23. Three jugs of water can fill a bucket. If the jugs have a capacity of #3/8# litres, #1/2# litres, and #1/6# litres, what is the capacity of the bucket?
3m 38s
24. Work out:a) #11/12# - #4/5# b) #7/10# - #7/20#
3m 12s
25. Work out: #5/6# - #2/15# - #4/30#
2m 14s
26. Subtract #7/12# from #7/9#.
1m 43s
27. Ngolu subtracted three eights from a half. What answer did he get?
2m 0s
28. Maribe had #7/9# litres of medicine. He gave #3/8# litres to sick goat. What fraction of the medicine remained?
3m 11s
29. A dairy farmer had #14/15# litres of milk. He sold #7/12# litres. How much milk remained?
2m 45s
30. Amada had #8/9# kg of flour. He used #4/5# kg to prepare ugali. What fraction of the flour remained?
2m 36s
31. Work out the following.a) 2#2/3# + 3#1/5# b) 13#3/10# + 18#2/5#
6m 11s
32. What is the sum of 2 #1/2# and 1 #3/16#?
3m 21s
33. Joan bought 5 #1/10# litres of milk while Juma bought 3 #1/2# litres of milk. How many litres of milk did Joan and Juma buy altogether?
3m 47s
34. Grade Six learners drank 10#2/3# litres of porridge on Monday. On Tuesday, they drank 12#2/5# litres of porridge. How many litres of porridge did the learners drink in the two days altogether?
4m 53s
35. Mpishi served 25#2/3# kg of rice for lunch. In the evening, she served another 15#5/9# kg of rice for supper. How many kilograms of rice did she serve altogether?
3m 54s
36. Work out: a) 27#5/8# - 26#5/6#b) 9#5/8# - 4#5/6#
7m 17s
37. Mwangemi bought 12 #7/8# m of a string. He used 9 #3/5# m. How many metres of the string remained?
3m 26s
38. Rono had 15 #11/12# litres of paint. He used 12 #3/5# litres to paint a wall. How many litres of paint remained?
4m 35s
39. A drum full of sand has a mass of 84 #1/6# kg. If the mass of the drum when empty is 12 #1/2# kg, what is the mass of the sand?
4m 16s
40. Convert the following percentages into fractions. a) #25%#b) #70%#
1m 5s
41. Njau gave #50%# of his goats to his son. Convert the percentage of goats he gave to his son into a fraction.
0m 53s
42. During a hand washing day in a school, #98%# of all the learners washed their hands with soap and clean water. What fraction of the learners washed their hands?
1m 15s
43. In a certain village, #99%# of the people sleep under mosquito nets. What fraction of people sleep under mosquito nets?
0m 48s
44. In a class, #65%# of the leaners like football and the rest volleyball. What fraction of the learners like volleyball?
1m 44s

Grade 6 Mathematics Online Lessons on Fractions

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