Raman ate 7 pieces of 1/4, Radhika ate 6 pieces of 1/4, Maa ate 8 pieces of 1/4, Dadiji ate 10 pieces of 1/4, and Baba ate 12 pieces of 1/4 paratha. Use a number line to find out how many parathas were eaten by each of them.
Answer
Raman 1 3/4 · Radhika 1 1/2 · Maa 2 · Dadiji 2 1/2 · Baba 3 parathas.
The method is the same each time: divide the number of pieces by 4, because 4 quarters make one whole paratha.
Person
Pieces of 1/4
Fraction
Divide by 4
Parathas eaten
Raman
7
7/4
7 ÷ 4 = 1 rem 3
1 3/4
Radhika
6
6/4
6 ÷ 4 = 1 rem 2
1 2/4 = 1 1/2
Maa
8
8/4
8 ÷ 4 = 2 rem 0
2
Dadiji
10
10/4
10 ÷ 4 = 2 rem 2
2 2/4 = 2 1/2
Baba
12
12/4
12 ÷ 4 = 3 rem 0
3
Five number lines, each with quarter ticks. The arrow ends where the person's total sits.
Tip: 2/4 is the same as 1/2, so 6/4 is 1 1/2 and 10/4 is 2 1/2. Always write the fraction in its simplest form at the end.
Q3.
How many parathas were made on this day? Find out.
Answer
13 parathas were made on this day.
On the fourths day, all six members of the family ate. Count all the quarter pieces, then change them into whole parathas.
Person
Pieces of 1/4
Parathas
Dadaji
9
2 1/4
Raman
7
1 3/4
Radhika
6
1 1/2
Maa
8
2
Dadiji
10
2 1/2
Baba
12
3
Total
52
13
Add all the quarter pieces. 9 + 7 + 6 + 8 + 10 + 12 = 52 pieces.
4 quarters make 1 paratha.
Divide. 52 ÷ 4 = 13.
Total = 52/4 parathas 52 ÷ 4 = 13 parathas
Check it yourself: Add the parathas instead: 2 1/4 + 1 3/4 + 1 1/2 + 2 + 2 1/2 + 3. The quarters 1/4 and 3/4 make 1; the halves 1/2 and 1/2 make 1. So 2 + 1 + 1 + 1 + 2 + 3 + 3 = 13 ✓.