Question

Write the following fractions as decimal fraction 3 and half​

Answer 1

Answer:

(i) 2

2

1

=

2

5

=2.5

(ii) 2

4

1

=

4

9

=2.25

(iii) 10

2

1

=

2

21

=10.5

(iv) 14

4

3

=

4

59

=14.75

Answer 2

Answer:

Hint: In this question, first convert the given statement into numbers. Half means 1212 and quarter means 1414 . You should use this information to convert the given statement in fraction. After this next thing that you have to do is to convert the fraction into decimal.

Complete step-by-step answer:

In the question, it is given that we have to convert the given four fractions into decimal.

But the numbers are not directly given. They are given in terms of statements.

So, first we will convert these statements into fraction and then convert the fraction into decimal.

Two things that we should know before solving are:

Half means 1212 and quarter means 1414 .

(1)Two and a half

On converting it into number we get:

2+12=522+12=52

Now, we will convert it into decimal which is given as:

52=5×502×50=250100=2.552=5×502×50=250100=2.5

Here we have multiplied both numerator and denominator by 50 to get 100 in denominator so that we can easily convert the fraction into decimal.

(2)Two and a quarter

On converting it into number we get:

2+14=942+14=94

Now, we will convert it into decimal which is given as:

94=9×252×25=225100=2.2594=9×252×25=225100=2.25

Here we have multiplied both numerator and denominator by 25 to get 100 in denominator so that we can easily convert the fraction into decimal.

(3)Ten and a half

On converting it into number we get:

10+12=21210+12=212

Now, we will convert it into decimal which is given as:

212=21×502×50=1050100=10.5212=21×502×50=1050100=10.5

(4)Fourteen and three quarters

Quarter means 1414 .

∴∴ Three quarters means 3×14=34.3×14=34.

Now, on converting the given statement into fraction, we get:

14+34=59414+34=594 .

Now, we will convert it into decimal which is given as:

594=59×254×25=1475100=14.75594=59×254×25=1475100=14.75

Here we have multiplied both numerator and denominator by 25 to get 100 in denominator so that we can easily convert the fraction into decimal.

Step-by-step explanation:

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