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301.

Express 0.041 as a fraction.

Answer»

We have,

0.041 = 41/1000

302.

A rectangle is divided into certain number of equal parts. If 16 of the parts so formed represent the fraction 1/4, find the number of parts in which the rectangle has been divided.

Answer»

Let the number of parts in which the rectangle has been divided be x.

According to question, 1/4 = 16/x

By cross-multiplication, x = 16 × 4 = 64

∴ The required number of parts is 64.

303.

On an average 1/10 of the food eaten is turned into organism’s own body and is available for the next level of consumer in a food chain. What fraction of the food eaten is not available for the next level?

Answer»

We have given, 1/10 of the food eaten is turned into organism’s own body.

∴ The required fraction of the food eaten not available for the next level is

1 - 1/10 = (10-1)/10

[∵ L.C.M. of 1 and 10 is 10]

= 9/10

304.

The decimal expression for 8 rupees 8 paise (in Rupees) is (a) 8.8 (b) 8.08 (c) 8.008 (d) 88.0

Answer»

Correct answer is (b) 8.08.

305.

Convert 5201 g to kg.

Answer»

We have,

5201 g = 5201/1000 kg

[∵ 1 kg = 1000 g]

= 5.201 kg

306.

Convert 1537 cm to m and express the result as an improper fraction.

Answer»

We have,

1537 cm = 1537/100 m

[∵  1 m = 100 cm]

= 15.37 m

307.

Grip size of a tennis racquet is 11 9/80 cm. Express the size as an improper fraction.

Answer»

We have given, a grip size of a tennis racquet = 11 9/80 cm = 889/80 cm, which is the required improper fraction.

308.

Express 11/20 as a decimals.

Answer»

We have,

11/20

= (11 x 5)/(20 x 5)

= 55/100

= 0.55

309.

Write the following extended form in decimal fraction(i) 30 +5 + 8/10 + 3/100(ii) 0/10 + 9/100 + 9/1000

Answer»

(i) 30 + 5 + 8/10 + 3/100

= 30 + 5 + 0.8 + 0.03

= 35.83

(ii) 0/10 + 9/100 + 9/1000

= 0.09 + 0.009

= 0.099

310.

If the area of a rectangle is 93.6 m and the width is 3.6 m, then find the perimeter of the rectangle.

Answer»

Area of rectangle = 93.6 m2

breadth = 3.6 m

Area of rectangle = l x b

⇒ 93.6 = l x 3.6

∴ l = 93.6 ÷ 3.6 = 936/10 ÷ 36/10

= 936/10 x 10/36 = 936/36 = 26 m

Perimeter of rectangle 2(l + b)

= 2 (26 + 3.6)

= 2 x 29.6

= 59.2 m

311.

Are you agree with that to find the area of a rectangle, we must know how to multiply two or more than fractional numbers?

Answer»

Yes. we are agree with that we must know, how to multiply two or more fractional numbers.

312.

You know that area of a rectangle = length x breadth. But if length and breadth is given in fraction, then how will you find the area of rectangle?

Answer»

If length and breadth are given in fractional numbers then the numerators are multiplied with numerators and denominators with denominators to find a fraction that is the area of a rectangle:

For example:

length = 4/5 unit and breadth = 3/7 unit

Then area of rectangle = length x breadth

= 4/5 x 3/7

= (4 x 3)/30

= 5/7

= 12/35 sq unit.

313.

Find the area of a rectangle whose length is 6.4 cm and breadth is 3.2 cm?

Answer»

Length of rectangle = 6.4 cm

Breadth of rectangle = 3.2 cm

Area of rectangle 6.4 x 3.2 = 20.48 cm2

314.

If 6/7 = A/49, then the value of A is(a) 42(b) 36(c) 25(d) 48

Answer»

The correct option is (a) 42.

315.

Write the reciprocals of the following numbers:1. 7 2. 11/33. 5/134. 2 5. 6/7

Answer»

1. 1/7

2. 3/11

3. 19/5

4. 1/2

5. 7/6

316.

Fill in the blanks to make the statement true.The lowest form of the product 2 3/7 × (7/9) is ......

Answer»

The lowest form of the product 2 3/7× (7/9) is (17/9) or 1 8/9

First we have to convert the mixed fraction into improper fraction 2 3/7 = 17/7

Then, (17/7) × (7/9)

= 17/9

317.

Replace and mnsq2 in each of the following by the correct number:(a) 2/7 = 8/...(b) 5/8 = 10/...(c) 3/5 = ..../20(d) 45/60 = 15/....(e) 18/24 = ..../4

Answer»

(a) 2/7 x 4/4 = 8/28

Hence, & mnsq2 Can be replaced by 28.

(b) 5/8 x 2/2 = 10/16

Hence, & mnsq2 Can be replaced by 16.

(c) 3/5 x 4/4 = 12/20

Hence, & mnsq2 Can be replaced by 12.

(d) 15/20 x 3/3 = 45/60

Hence, & mnsq2 Can be replaced by 20.

(e) 3/4 x 6/6 = 18/24

Hence, & mnsq2 Can be replaced by 3.