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Grade 7 Mathematics Online Lessons on Fractions
Identify the reciprocal of the following.
a) #1/6#
b) #11 1/2#
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1.
Which is the greatest fraction between #4/5# and #2/5#?
2.
Use ‘smaller than’, ‘greater than’ or ‘equal to’ symbols to compare the following pair of fractions. 2#2/3#, 2#5/7#
3.
Arrange the following fractions in ascending order. a) #4/10, 3/10, 5/10, 7/10#
4.
Agriculture club learners met to discuss what to plant on the school farm. In the meeting, #4/9# of the learners were boys while #5/9# were girls. Which gender had more learners than the other in the meeting?
5.
Five county executive committee members held a meeting to discuss environmental conservation in a certain county. The table below shows the amount of water in litres each member consumed during the meeting. a) Arrange the fractions representing the amount of water in ascending order. b) Which members consumed the least and the highest amount of water respectively?
6.
Work out the following. a) #2/7 + 3/7# b) #6 + 2 1/4 + 5 1/2#
7.
Calculate: #1/2 + 5/6 + 3/7#
8.
A tailor Okwasumi makes a table cloth. He cut #3 1/2 m# of a purple piece of cloth. He then used #1/2 m# of blue piece of cloth to fix flower patches on the purple piece of cloth. He then used #1 1/4 m# of red piece of cloth to bind the purple cloth. What length of material did he use to make the table cloth?
9.
To supply a certain group of athletes with blended juice, a fruit vendor mixed #2 1/2 litres# of mango juice, #1 1/3 litres# of orange juice and #3/4 litres# of avocado juice. How many litres of blended juice did he supply to the athletes?
10.
To prepare porridge flour for her family, Lena mixed #5 1/4 kg# of maize flour, #1 1/2 kg# of soghurm flour and #1 3/4 kg# of millet flour. What total mass of flour did Lena mix?
11.
Karimi wrote a fraction. She simplified the fraction by dividing the numerator and denominator by 5 to get #3/7#. Write down the fraction that Karimi wrote.
12.
Work out: #1 1/2 + 2 3/18#
13.
Subtract: a) #3/5 - 2/5# b) #5/8 - 3/16#
14.
Subtract #1/3# from 2 #1/2#.
15.
Subtract: #5 3/5 – 3 - 1 1/7#
16.
Work this out. #5 - 2/9 - 1 1/3#
17.
Alina lives in Nairobi. One day she took #3 1/3 hours# to travel to the village to visit her parents. While travelling back she took #3 5/6 hours#. a) Which of the two trips did she take less time travelling? b) What is the difference in time between the two trips?
18.
Mohammed is a farmer. He bought #2 1/2# ???????? of fertilizer to apply to his crops. He applied #1 3/4# ???????? of fertilizer in the first week and #3/5# of a bag in the fourth week. What amount of fertilizer remained?
19.
Ajele’s goat is tethered using a rope. Ajele made the rope of length #4 3/4# m by joining three pieces of rope. The first piece of the rope was #1 2/3# m long. The length of the second piece of the rope was #1 3/4# m. Work out the length of the third piece of the rope.
20.
Work out: a) #2 1/2 × 1/4# b) #3 ×2 1/4#
21.
Muthengi bought #5/6# of a truck of sand to repair his gate. The truck carries 24 tonnes of sand when full. How many tonnes of sand did Muthengi buy?
22.
Wakio’s car consumes #1/12# of a litre to one kilometre. One day, she drove for #35 1/4# kilometres to visit a children’s home. How many litres of petrol did the car consume?
23.
Akeno wanted to fence her farm to keep away wild animals. She bought #7/12# rolls of wire mesh. Each roll was #54 1/4# metres long. What is the total length of wire mesh that Akeno bought?
24.
sixth of learners in a class wear spectacles. A third of the learners who wear spectacles are girls. What fraction do the girls who wear spectacles represent in the class?
25.
Identify the reciprocal of the following. a) #1/6# b) #11 1/2#
26.
What are the reciprocals of the following? a) #1 1/5# b) 52
27.
Write a whole number, a fraction and a mixed number. Identify the reciprocal of each.
28.
Work out: #2/5 ÷ 6/10#
29.
Divide #5 3/7# by #2 1/4#.
30.
Jesse has three children. The children share #3/4# litres of milk equally every day. How much milk does each child get every day?
31.
Chengo is a farmer. He applied #4/5# of a bag of fertilizer to his crops on 2 plots. What fraction of a bag of fertilizer did he apply on one plot?
32.
Arunga rears sheep on her farm. She bought a rope whose length was #24 1/3# m. She cut the rope into six equal pieces to tether each of her sheep. What length of rope did she use to tether each sheep?
33.
Work out: #3 ÷ 3/4#
34.
Divide 6 by #3 3/11#.
35.
Namelok is a shopkeeper. She bought 5 kg of sugar and repacked it into half kilogram packets. How many packets did she repack?
36.
In Huduma Junior Secondary School, learners attend lessons from 8:20 am to 1:00 pm and then break for lunch. Two other breaks before lunch break last for a total 40 minutes. One lesson takes #2/3# of an hour. How many lessons do the learners attend before breaking for lunch?
37.
A relay race was organized in such a way that each of the athlete covered #80 1/2# metres. The total distance covered by the athletes was 322 metres. How many athletes participated in the relay?
38.
What is the next fraction in the sequence? What is the rule? #1/4, 1/8, 1/16, 1/32, #,
39.
What is the next fraction in the sequence? What is the rule? #1/2, 1, 1 1/2, 2, 2 1/2, 3,#
40.
Copy and fill in the following puzzle.
41.
Create a sequence of six terms by multiplying a fraction by 2. Start at #1/3#.
42.
A bus picks passengers near Keroni’s home after every #1 1/3# hours. Keroni wanted to use the bus to travel to town. Create a sequence to show the total time that elapsed after every trip until Keroni boarded the bus on the sixth trip?
43.
During the school sports day, Namo carried 6 litres of water in a bottle. He drank half a litre of water after every hour. Create a sequence of 8 terms to work out the amount of water that remained in the bottle after the seventh hour.
44.
Moraa bought a thread whose length was 7 metres to decorate her drama festivals costume. She cut the thread into equal pieces whose length was #2 1/3# metres each. How many pieces did she get?
45.
Samavart is a carpenter. He bought five pieces of wood each measuring #1 1/3 m#. What is the total length of the pieces of wood that he bought?
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