# Fractions and Decimals

## Exercise 2.1

1). Solve:

i). 2 – ^{3}/_{5}

ii). 4 + ^{7}/_{8}

iii). ^{3}/_{5} + ^{2}/_{7}

iv). ^{9}/_{11} – ^{4}/_{15}

v). ^{7}/_{10} + ^{2}/_{5} + ^{3}/_{2}

vi). 2^{2}/_{3} + 3 ^{1}/_{2}

vii). 8^{1}/_{2} – 3 ^{5}/_{8}

2). Arrange the following in descending order.

i). ^{2}/_{9}, ^{2}/_{3}, ^{8}/_{21}

ii). ^{1}/_{5}, ^{3}/_{7}, ^{7}/_{10}

3). In a magic square, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?

Answer:

4). A rectangular sheet of paper is 12^{1}/_{2} cm long and 10^{2}/_{3} cm wide. Find its perimeter.

5). Find the perimeter of (i) ∆ABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Answer:

6). Salil wants to put a picture in the frame. The picture is 7^{3}/_{5} cm wide. To fit in the frame the picture cannot be more than 7^{3}/_{10} cm wide. How much should the picture be trimmed?

7). Ritu ate ^{3}/_{5} of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

8). Michael finished colouring a picture in ^{7}/_{12} hour. Vaibhav finished colouring the same picture in ¾ hour. Who worked longer? By what fraction was it longer?

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