## Things to remember.....

1.  A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
2. When expressing a situation of counting parts to write a fraction, it must be ensured that all parts are equal.
1. In   5/7 ,   5 is called the numerator and 7 is called the denominator.
2. Fractions can be shown on a number line. Every fraction has a point associated with it on the number line.
3. In a proper fraction, the numerator is less than the denominator. The fractions, where the numerator is greater than the denominator are called improper fractions. An improper fraction can be written as a combination of a whole and a part, and such fraction then called mixed fractions.
4. Each proper or improper fraction has many equivalent fractions. To find an equivalent fraction of a given fraction, we may multiply or divide both the numerator and the denominator of the given fraction by the same number.
5. A fraction is said to be in the simplest (or lowest) form if its numerator and the denominator have no common factor except 1.
1. Solve :

 2 7 2×5 1×3 14+3 17 a. + = + = = 3 15 3×5 7×3 21 21
 3 7 3×3 7×2 9+14 23 b. + = + = = 10 15 10×3 15×2 30 30
 4 2 4×7 2×9 28+18 46 c. + = + = = 9 7 3×7 7×9 63 63
 5 1 5×3 1×7 15+7 22 d. + = + = = 7 3 7×3 3×7 21 2
 2 1 2×6 1×6 12+5 17 e. + = + = = 5 6 5×6 6×5 30 30
 4 2 4×3 2×5 12+10 22 f. + = + = = 5 3 5×3 3×5 15 15
 3 1 3×3 1×4 9-4 5 g. + = + = = 4 3 4×3 3×4 12 12
 5 1 5×3 1×6 15-6 5 h. + = + = = 6 3 6×3 3×6 18 18
 2 3 1 2×4 3×3 1×6 8+9+6 23 i. + + = + = = = 3 4 2 3×4 4×3 2×6 12 12
 2 1 1 1×3 1×2 1×1 3+2+1 6 j. + + = + = = = = 1 3 3 2 2×3 3×2 6 6 6
 1 2 1 2 1+2 4+3 7 k. 1 + 3 = 1+3 +( + ) = 4 +( )= = ( ) 3 3 3 3 3 3 3
 2 1 14 13 14×4 13×3 56+39 95 l. 4 + 3 = + = + = = 3 4 3 4 3×4 4×3 12 12
 16 7 16×5 7×5 80-35 45÷5 9 m. + = + = = = 5 5 5×5 5×5 25 25÷5 5
 4 1 4×2 1×2 8-3 5 n. + = + = = 3 2 3×2 3×2 6 6
2.  Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought? Answer:
 2 The metre length of ribbon, Sarita bought = 5 3 The metre length of ribbon lalita bought = 4 2 3 2×4 3×5 8 15 13 Total length of ribbon they bought = + = + = + = 5 4 5×4 4×5 20 20 20
3.  Naina was given 1 (1/2) piece of cake and Najma was given 1 (1/3) piece of cake. Find the total amount of cake was given to both of them. Answer:
 1 The piece of cake, Naina given = 1 2 1 The piece of cake, Najma given = 1 3 1 1 3 4 3×3 4×2 17 5 The total amount of cake was given to both of them = 1 + 1 = + = + = = 2 2 3 2 3 2×3 3×2 6 6

4. Fill in the boxes.

5. Complete the addition-subtraction box.

6. A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece? Answer:
 7 The length of wire = m 8 1 The lenth of one broken piece of wire = m 4 7 1 7×1 1×2 7 2 7-2 5 The length of other wire = - = - = - = = 8 4 8×1 4×2 8 8 8 8
7. Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk? Answer:
 9 Distance of school from Nadinis house = km 10 1 Distance travelled by bus = km 2 9 1 9×1 1×5 9 5 4 2 Distance she walked = - = - = - = = km 10 2 10 10 10 10 10 5
8.  Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction? Answer:
Fraction of Asha's shelf filled with books
 5 = 6
Fraction of Samual shelf filled with books
 2 = 5
For Comparing we have to first find LCM of denominator of given fractions i.e.6, 5, which is 30 , using LCM we can find equivalent fractions of 5/6 and 2/5 with same denominator 30, which can compared easily
 5 5×5 25 2 2×6 12 = = = , = = 6 6×5 30 5 5×6 30
9. Jaidev takes 2 1/5to walk across the school ground. Rahul takes 7/4 min to do the same. Who takes less time and by what fraction? Answer:
 1 11 Time taken by jaidev to walk across the ground= 2 = min 5 5 7 Time taken by Rahul to walk across the ground= min 4 11 7 11×4 7×5 44 35 Comparing fraction of time for both , :: , :: , 5 4 5×4 4×5 20 20 35 44 Clearly < 20 20 44 35 44-35 9 ∴Rahul takes less time by fraction = = = = min 20 20 20 20