Final answer:
To convert a fraction to a decimal, we divide the numerator by the denominator. In this case, 13 divided by 100 equals 0.13. Therefore, the fraction 0.13 is equal to 13/100 (A).
Step-by-step explanation:
To find the fraction equal to 0.13, we need to express this decimal as a fraction with integer numerator and denominator. Decimal 0.13 has two decimal places, so it is equivalent to the fraction ⅛ over 100, or 13/100, because moving the decimal point two places to the right converts it into a whole number, while the denominator represents the two decimal places as a power of 10, which is 100.
So, the correct fraction is option (A) 13/100. The other options provided can be quickly determined to be incorrect because they all represent different values. Option (B) 130/1000 simplifies to 13/100, which is the correct value but expressed differently. Option (C) 13/1000 has one extra zero in the denominator, making it ten times smaller than the correct value, and option (D) 1300/10000 also simplifies to 13/100 but expressed with extra zeros.