Final answer:
To express 0.15 as a fraction, write it as 15/100 and simplify by dividing both the numerator and denominator by 5 to get 3/20 in simplest form.
Step-by-step explanation:
To express the decimal 0.15 as a fraction in its simplest form, we start by writing it as a fraction with a denominator that reflects its place value. Since 0.15 has two digits after the decimal point, its denominator should be 100. Hence, we have:
0.15 = 15/100
Now, we need to reduce this fraction to its simplest form by canceling equivalent terms in the numerator and the denominator. We notice that both 15 and 100 are divisible by 5. Dividing the numerator and the denominator by 5, we get:
15 ÷ 5 = 3
100 ÷ 5 = 20
Therefore, the fraction 15/100 simplifies to 3/20, which is in its simplest form.