Question

Fractional expansion of a. 22.16 b.9.308 pls say fast ​

Answer 1

Step-by-step explanation:

Given:

a) 22.16

b) 9.308

To find: Fractional expansion of given numbers.

Solution:

$\bf a) \: 22.16$

To find fractional expansion of 22.16, write the number as shown

$22.16 = 2 \times 10 + 2 \times 1 + 1 \times \frac{1}{10} + 6 \times \frac{1}{100}$

or

$22.16 = 20 + 2 + \frac{1}{10} + \frac{6}{100}$

$\bf b) \: 9.308$

$9.308 = 9 \times 1 + 3 \times \frac{1}{10} + 0 \times \frac{1}{100 } + 8 \times \frac{1}{1000}$

or

$9.308 = 9 + \frac{3}{10} + \frac{0}{100} + \frac{8}{1000}$

Final answer:

Fractional expansion of given numbers are

$\bf a) \: 22.16 = 20 + 2 + \frac{1}{10} + \frac{6}{100}$

$\bf b) \: 9.308 = 9 + \frac{3}{10} + \frac{0}{100} + \frac{8}{1000}$

Hope it will help you.

Learn more:

1) without actual division show that 171 by 800 is a terminating decimal. express it in decimal form.

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2) Expand the number based on the place value.

(a) 8720435 (b) 549786

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Answer 2

a) 22.16 is () =$\frac{2216}{100}=\frac{554}{25}$

b) 9.308 is  = $\frac{9806}{1000} =\frac{4653}{500}$

Step-by-step explanation:

Convertion of decimal Fraction into common Fraction:

• This means that it is simple to change a decimal fraction into a common Fraction by putting the proper denominator under the Number of the right of the decimal.

1.For 22.16

• From the right side, the decimal point is placed after two places. Therefore the denominator is the minimum number with two zeros (i.e.) 100.
• Therefore the fraction expansion of 22.16 is 2216/100

By normal simplification  is $\frac{2216}{100} is \frac{554}{25}$

2.For 9.306

• From the right side, the decimal point is placed after three places
• Therefore the denominator is  the minimum number with three zeros[i.e.] 1000 Therefore the Fraction expansion of 9.306 is 9306/1000.

By normal simplification  is $\frac{9306}{1000}$ is $\frac{4653}{500}$.