74
Shares and parts
Textbook: Part 3, lesson 74, pp. 10–12
GoalThe idea of a share: one of the equal parts of a whole; naming shares; a part made of several shares.
New words
share · ulushwhole · butunpart · qismequal part · teng qism
Explanation
If a whole is split into equal parts, each part is called a share. The name of a share depends on how many parts the whole was split into: 2 parts – a half, 4 parts – a quarter (one fourth), 10 parts – one tenth. A part of a number can be made of several shares. We write it in two storeys: under the line, how many parts the whole was split into; above the line, how many of those parts were taken. For example 3/4 is read “three fourths”.
Worked examples
A chocolate bar is split into 8 equal pieces. One piece is 1/8, three pieces are 3/8.
A circle is split into 5 equal parts and 2 are coloured. The coloured part is 2/5, the uncoloured part is 3/5.
Class activity
“Fold to find shares”: each child folds a sheet of paper into 2, then 4, then 8 equal parts, opens it, colours one share and several shares, and names them.
Practice
1
1 kg of sweets is split into 4 equal parts. How many grams is one part?
250
2
A drawing has 12 equal squares and 5 are coloured. Which fraction shows the coloured part?
5/12
3
How many decimetres is one tenth of 1 m?
1
4
A basket holds 9 fruits: 4 apples and 5 pears. What part of the fruits are apples?
4/9
5
Read the fraction 3/8 in words.
three eighths