I am converting 0.57 to a fraction. My answer is 57/99. Am I correct.
0.57 = 0.57 * 100 / 100 = 57 / 100
57/99 is 0.5757575757...
the answer 0.5757575757... as a fraction
To check whether the fraction 57/99 is equivalent to the decimal 0.57, we can follow these steps:
1. Write the decimal as a fraction: 0.57 = 57/100.
- Since there are two decimal places, we write the decimal as a fraction with 100 as the denominator.
2. Simplify the fraction.
- Both 57 and 100 are divisible by 1, so the fraction can be simplified.
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 57 and 100 is 1.
Dividing both the numerator and denominator by the GCD, we get:
57 ÷ 1 / 100 ÷ 1 = 57/100
Therefore, the simplified fraction for 0.57 is 57/100, not 57/99.