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NCERT Solutions Ganita Prakash Chapter 7 Figure it Out — Measuring Using Fractional Units

Book page 158 Updated on2026-09-05

Q1.
Continue this table of 1⁄2 for 2 more steps.
Answer

The table in the book ends at “5 times half”. The next two steps add one more half each time.

1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 6 times 1/2 = 6/2 = 3
1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 7 times 1/2 = 7/2 = 3 1/2
Tip: two halves make one whole, so “6 times half” is exactly 3 whole rotis and “7 times half” is 3 rotis and one half.
Q2.
Can you create a similar table for 1⁄4?
Answer

Yes. Keep adding one quarter at a time.

Number of quartersAddition statementFraction
1 time quarter1/41/4
2 times quarter1/4 + 1/42/4 = 1/2
3 times quarter1/4 + 1/4 + 1/43/4
4 times quarter1/4 + 1/4 + 1/4 + 1/44/4 = 1
5 times quarter1/4 + 1/4 + 1/4 + 1/4 + 1/45/4 = 1 1/4
6 times quartersix quarters6/4 = 1 1/2
Q3.
Make 1⁄3 using a paper strip. Can you use this to also make 1⁄6?
Answer

Yes. First fold the strip into three equal parts (roll it like a letter) — each part is 1⁄3 of the strip.

Now fold that folded strip once more into two. Each third gets cut into 2 equal pieces, so the whole strip now has 3 × 2 = 6 equal pieces.

Half of 1/3 = 1/6
So 2 pieces of 1/6 = 1/3, and 6 pieces of 1/6 = 1
Why it works: halving a fractional unit doubles the number of parts in the whole — thirds become sixths, quarters become eighths, and so on.
Q4.
Draw a picture and write an addition statement as above to show: a. 5 times 1⁄4 of a roti b. 9 times 1⁄4 of a roti
Answer

(a) 5 times 1⁄4 of a roti — draw 1 full roti cut into 4 quarters, and one more roti with 1 quarter shaded.

1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4 = 1 + 1/4 = 1 1/4 rotis

(b) 9 times 1⁄4 of a roti — draw 2 full rotis cut into quarters, and a third roti with 1 quarter shaded.

1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 9/4 = 2 + 1/4 = 2 1/4 rotis
Tip: group the quarters in fours — every group of 4 quarters makes 1 whole roti. 9 quarters = 4 + 4 + 1, so 2 whole rotis and one quarter.
Q5.
Match each fractional unit with the correct picture: 1⁄3, 1⁄5, 1⁄8, 1⁄6
Answer

Count the number of equal parts in each circle — one shaded part is 1 divided by that number.

8 parts → 1/86 parts → 1/63 parts → 1/35 parts → 1/5
The four circles of the book, in the order they are printed. The shaded part of each circle is its fractional unit.
Fractional unitPictureEqual parts in the circle
1/3third circle3
1/5fourth circle5
1/8first circle8
1/6second circle6
Tip: do not count only the cut lines — count the pieces. Three cut lines through the centre make 6 pieces, not 3.
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