Convert the decimal expansion of 0.152 into a rational number (fraction) in the simplest form

The answer to your question is  77/500    

Step-by-step explanation:

Data

decimal number = 0.154

fraction number = ?

Process

To convert a decimal number into a fraction, express the decimal number without the zero and the decimal point (this number will be the numerator) and write as a denominator a number one plus as many zeros after this number as numbers there are after the decimal point of the numerator.

Example

              0.154 has three number after the decimal point then we write 1000

                             154/1000 =

Simplify

                              77/500            

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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step-by-step explanation: