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E xercise 4.1
1. Add the following :
1 3 8 5 4 1 7 8 11 10
a. + + b. + + c. + + +
10 10 10 12 12 12 15 15 15 15
1 1 1 1 1 1
d. + e. + f. +
3 6 7 21 4 6
1 1 1 1 1 1 1 1 1
g. + + h. + + i. + +
5 10 15 4 8 12 3 5 4
1 1 1 1 1 1 1 1 1
j. + + k. + + l. + +
6 8 12 4 6 8 9 18 27
2. Subtract the following :
11 5 7 3 1 1
a. - b. - c. -
17 17 12 12 3 4
1 1 1 1 1 1
d. - e. - f. -
6 18 8 12 4 18
Con vert ing mixed frac tion into im proper frac tion
A mixed fraction may always be converted into an improper fraction.
In conversion of mixed fractions into improper fractions, we may follow the
following steps :
1
1. Obtain the mixed fraction. Let the mixed fraction be 3
2
2. Identify the whole number and the numerator (top) and denominator (bottom)
of the proper fraction.
3. Multiply the whole number by the denominator of the proper fraction and add
the result to the numerator of the proper fraction.
4. Write the fraction having numerator equal to the number obtained in step III
and denominator same as the denominator of the fraction in above step. Thus,
(Whole number ´ Denominator) Numerator
+
Im proper frac tions =
Denominator
+
+
1 ( 3 2 1) 6 1 7
´
3 = = =
2 2 2 2
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