CONVERTING FRACTIONS TO DECIMALS WORKSHEET

Problem 1 :

Decimal form of "seven tenths' is 

a)  0.5     b)  0.8      c)  0.7     d) 7.7

Problem 2 :

What will be the value of 1 x 0.3 x 0.01 x 0.003?

a) 0.000009    b) 0.000027    c)  0.00009     d) 0.00003

Problem 3 :

The decimal notation of 3/5 is ____

a)  0.1     b)  0.6      c)  0.5     d) 0.2

Problem 4 :

Write the decimal :

60 + 1/10 + 3/100

a)  6.13     b)  60.13      c)  60.103     d) 60.013

Problem 5 :

Write the decimal :

200 + 30 + 5 + 2/10 + 9/100

a)  23.29     b)  25.29      c)  235.29     d) 235.59

Problem 6 :

If 547.527/0.0082 then value of 547527/82 is

a)  x/10     b)  10x      c)  100x     d) none

Problem 7 :

Write as decimal 300 + 5 + 7/10

a)  305.7     b)  305.07      c)  35.7     d) none

Problem 8 :

Decimal notation of 1/4 is

a)  0.4     b)  0.04      c)  0.02     d) 0.25

Problem 9 :

Compare :

5/6 - 1/2 ____ 3/4 - 2/3

a)  <     b)  >      c)  =     d) none

Problem 10 :

Compare :

a)  <     b)  >      c)  =     d) none

Problem 11 :

7.5 x 7.5 + 37.5 + 2.5 x 2.5 = ?

a)  100      b)  80     c) 60    d)  30

Problem 12 :

0.04 x ? = 0.00016

a)  0.004      b)  0.04     c) 4    d)  None

Problem 1 :

Decimal form of "seven tenths' is 

a)  0.5     b)  0.8      c)  0.7     d) 7.7

Solution :

Seven tenths = 0.7

Problem 2 :

What will be the value of 1 x 0.3 x 0.01 x 0.003?

a) 0.000009    b) 0.000027    c)  0.00009     d) 0.00003

Solution :

1 x 0.3 x 0.01 x 0.003

By converting the decimals 0.3, 0.01 and 0.003 as fraction, we can find the product simply.

= 1 x (3/10) x (1/100) x (3/1000)

= 9/1000000

We have to move the decimal 6 digits to the left. Since we have 1 digit, we have to replace the remaining digits by zeroes.

= 0.000009

So, option a is correct.

Problem 3 :

The decimal notation of 3/5 is ____

a)  0.1     b)  0.6      c)  0.5     d) 0.2

Solution :

3/5

Since the denominator is 5 and making it as 10 or multiple of 10, we can make it as decimal.

= (3/5) x (2/2)

= 6/10

= 0.6

So, option b is correct.

Problem 4 :

Write the decimal :

60 + 1/10 + 3/100

a)  6.13     b)  60.13      c)  60.103     d) 60.013

Solution :

60 + 1/10 + 3/100

= 60 + 0.1 + 0.03

= 60.13

So, option b is correct.

Problem 5 :

Write the decimal :

200 + 30 + 5 + 2/10 + 9/100

a)  23.29     b)  25.29      c)  235.29     d) 235.59

Solution :

= 200 + 30 + 5 + 2/10 + 9/100

= 200 + 30 + 5 + 0.2 + 0.09

= 235 + 0.2 + 0.09

= 235.29

So, option c is correct.

Problem 6 :

If 547.527/0.0082 then value of 547527/82 is

a)  x/10     b)  10x      c)  100x     d) none

Solution :

Let x = 547.527/0.0082

Since we have four digits after the decimal at the denominator, we have to multiply both numerator and denominator by 10000

x = (547.527 x 10000)/(0.0082 x 10000)

x = 5475270/82

x/10 = (547527/82)

So, option a is correct.

Problem 7 :

Write as decimal 300 + 5 + 7/10

a)  305.7     b)  305.07      c)  35.7     d) none

Solution :

300 + 5 + 7/10

= 305 + 0.7

= 305.7

So, option a is correct.

Problem 8 :

Decimal notation of 1/4 is

a)  0.4     b)  0.04      c)  0.02     d) 0.25

Solution :

1/4

Since we have 4 at the denominator, by multiplying the numerator and denominator by 25 we can make the denominator as a multiple of 10.

= (1/4) x (25/25)

= 25/100

= 0.25

So, option d is correct.

Problem 9 :

Compare :

5/6 - 1/2 ____ 3/4 - 2/3

a)  <     b)  >      c)  =     d) none

Solution :

5/6 - 1/2 ____ 3/4 - 2/3

Combing these two fractions at left, we get

= 5/6 - (1/2) x (3/3) 

= 5/6 - 3/6

= 2/6

= 1/3 -----(1)

Combing these two fractions at right, we get

= 3/4 - 2/3

= 9/12 - 8/12

= (9 - 8)/12

= 1/12  -----(2)

Making the denominator of first fraction as 12, we get

1/3 = 4/12 

4/12 > 1/12

So,

5/6 - 1/2 > 3/4 - 2/3

So, option b is correct.

Problem 10 :

Compare :

Solution :

Problem 11 :

7.5 x 7.5 + 37.5 + 2.5 x 2.5 = ?

a)  100      b)  80     c) 60    d)  30

Solution :

= 7.5 x 7.5 + 37.5 + 2.5 x 2.5

= (7.5)² +  37.5 + (2.5)²

= (7.5)² + 2(7.5)(2.5) + (2.5)²

= (7.5 + 2.5)²

= 10²

= 100

So, option a is correct.

Problem 12 :

0.04 x ? = 0.00016

a)  0.004      b)  0.04     c) 4    d)  None

Solution :

0.04 x ? = 0.00016

Let a be the unknown.

a = 0.00016/0.04

= 0.004

so, option a is correct.

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