Express a decimal number ( ie 0.768) - process description - as a rational number (96/125)?

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

for any , so the above is the same as

Similarly, we can write

Now it's a question of reducing the fraction as much as possible. We have so

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x