Express 0.54 as a rational number. sir this question answer is 6/11
.54 is a rational number.
did you mean express .5454545454... as a rational number?
multiply that by 100
54.54545454...
now subtract .545454... which is not 99 times the original number
= 54/99=6/11
To express 0.54 as a rational number, we can follow these steps:
Step 1: Write 0.54 as a fraction by placing the decimal part over a power of 10. Since there are two digits after the decimal point, we can place the decimal part over 100:
0.54 = 54/100
Step 2: Simplify the fraction. Both the numerator and denominator have a common factor of 2. Divide both by 2:
54/100 = 27/50
So, 0.54 can be expressed as the rational number 27/50.
To express 0.54 as a rational number, we need to write it as a fraction with both the numerator and denominator as integers.
Step 1: Let x be the given decimal 0.54.
Step 2: Multiply x by 100 to remove the decimal point.
x = 0.54 * 100 = 54.
Step 3: Express x as a fraction by placing it over 100.
x = 54/100.
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 54 and 100 is 2.
54/100 = (54 ÷ 2) / (100 ÷ 2) = 27/50.
Therefore, the rational representation of 0.54 is 27/50.