NCERT Solutions for Class 7 State Board Chapter 2 Fractions And Decimals

Solve:

(i)  $2-\frac{3}{5} \left(\mathrm{ii}\right) 4+\frac{7}{8} \left(\mathrm{iii}\right) \frac{3}{5}+\frac{2}{7}$

(iv)  $\frac{9}{11}-\frac{4}{15} \left(\mathrm{v}\right) \frac{7}{10}+\frac{2}{5}+\frac{3}{2} \left(\mathrm{vi}\right) 2\frac{2}{3}+3\frac{1}{2}$

(vii)   $8\frac{1}{2}-3\frac{5}{8}$

Arrange the following in descending order:

(i)$\frac{2}{9},\frac{2}{3},\frac{8}{21} \left(\mathrm{ii}\right) \frac{1}{5},\frac{3}{7},\frac{7}{10}$

A rectangular sheet of paper is $12\frac{1}{2}$cm long and $10\frac{2}{3}$cm wide.

Find its perimeter.

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Salil wants to put a picture in a frame. The picture is $7\frac{3}{5}$cm wide.

To fit in the frame the picture cannot be more than$7\frac{3}{10}$cm wide. How much should the picture be trimmed?

Ritu ate $\frac{3}{5}$part 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?

Michael finished colouring a picture in $\frac{7}{12}$hour. Vaibhav finished colouring the same picture in $\frac{3}{4}$ hour. Who worked longer? By what fraction was it longer?

Some pictures (a) to (c) are given below. Tell which of them show:

(i) $3\times \frac{1}{5}=\frac{3}{5} \left(\mathrm{ii}\right) 2\times \frac{1}{3}=\frac{2}{3} \left(\mathrm{iii}\right) 3\times \frac{3}{4}=2\frac{1}{4}$

(a)

(b)

(c)

Multiply and reduce to lowest form and convert into a mixed fraction:

(i) $7\times \frac{3}{5}$ (ii) $4\times \frac{1}{3}$ (iii) $2\times \frac{6}{7}$ (iv) $5\times \frac{2}{9}$

(v) $\frac{2}{3}\times 4$ (vi) $\frac{5}{2}\times 6$ (vii) $11\times \frac{4}{7}$ (viii) $20\times \frac{4}{5}$

(ix) $13\times \frac{1}{3}$ (x) $15\times \frac{3}{5}$