Page 188 - New Medley 5 Semester 1

D. Solve the following word problems.
1
1. A tailor stitches a dresses using 2 m of a cloth. How much cloth is
4

required to stitch 10 such dresses?

2
2. A bottle can hold L of milk. How much milk can be filled in 12 such
5
bottles?
1 1
3. Anuradha bought 6 m rope at the rate of `15 per metre. How much
4 2

money did she pay to the shopkeeper?
1 1
4. The cost of 1 kg of guavas is `25 . Find the cost of 3 kg of guavas.
2 4
1
5. Find the perimeter of a square whose each side is 2 m long.
2

1 1
6. Out of 48 students in a class, liked apples, liked oranges, 7 liked
3 4

strawberries and the remaining students liked mangoes. How many
students liked mangoes?

Reciprocal of a Fraction

Knowledge about the multiplicative inverse of a number or a fraction

helps us in the division of a fraction. Two fractions are said to be the
multiplicative inverse or reciprocal of each other if their product is 1.

Consider the following multiplications:
1 5 × 1 5 1 1 × 8 8 4 11 44
5 × = = = 1, × 8 = = = 1 and × = = 1
5 5 5 8 8 8 11 4 44

1 1 4 11
Thus, 5 and , and 8, and are multiplicative inverses or reciprocals
5 8 11 4

of each other as their product in each case is 1.

To get the multiplicative inverse of a fraction, flip its numerator and denominator
5 7 6 1 1 3
upside down. For example, , , or 3, etc.
7 5 1 6 3 1

186