Page 271 - Start Up Mathematics_6

Technology Linking Mathematics with ICT
Section

Simplest Form of a Fraction

We demonstrate how computers can be used in Mathematics. Follow the instructions given below to obtain
p
the reduced equivalent fractions of q upto its simplest form. A p q
p 8 1 A 1 A 1
Let q = 24 , here p = 8 and q = 24. 1 8 24

1. Determine which is smaller p or q. For example, in the above case p 2 4 12
is smaller.
3 8 8
2. Create an Excel spreadsheet in which the first column contains the 3
natural numbers 1 to p.
p 4 2 6
3. Use the formula A to create the second column. For example, we 5 8 24
8 1 5 5
find A 1 in the above case.
4. Similarly, create a third column using the formula q , i.e., 24 . 6 8 4
A A 6
1 1
5. Consider the quotients in the cells of column 2 and 3. If in both the 7 8 24
columns natural numbers with no decimal part appear in the same row, 7 7
p r
then is equivalent to where r, s are respective natural numbers. 8 1 3
s
q
Amongst all the equivalent fractions the one in simplest form comes
in the last.
p 8 4 2 1
Hence q = 24 = 12 = 6 = 3

Using the same method, evaluate the simplest form of:
32 420 32
(a) 48 (b) 60 (c) 96

Currency, Estimation, Data Handling

Using the internet, find out the currencies of the U.S., the U.K., Europe, Australia, Canada, Pakistan and Nepal.
Find their current value in Indian rupees (`). Make a report on it. Round off their values and choose a suitable
scale to represent the equivalent values of different currencies in Indian rupees on a bar graph.

Answer the following questions:
1. What is the scale chosen by you?

2. Which currency has the longest bar? What does it show?
3. Which two currencies have nearly the same value?

4. If you have the option of getting 1000 in any currency of your choice, which currency will you choose?

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