Write $\frac{3}{20}$ as a decimal.
To write a fraction as a decimal, I can divide the numerator by the denominator. In this case, I need to divide 3 by 20. I can use long division to do this, or I can use a calculator if I'm allowed. I'll use long division for now, since it's good practice and it helps me understand what's happening. I'll set up the division like this: 20 \overline{)3.00} I'll add two zeros after the decimal point in the dividend (3) to make it easier to divide by 20. I'll also put a decimal point above the quotient, aligned with the decimal point in the dividend. How many times does 20 go into 3? It doesn't, so I'll put a zero above the 3. Next, I'll bring down the first zero after the decimal point. How many times does 20 go into 30? It goes once, with a remainder of 10. So I'll put a 1 above the zero and subtract 20 from 30 to get 10. Then I'll bring down the second zero after the decimal point. How many times does 20 go into 100? It goes five times, with no remainder. So I'll put a 5 above the zero and subtract 100 from 100 to get 0. Since there is no remainder and no more digits to bring down, I'm done with the division. The quotient is 0.15, which is the decimal equivalent of the fraction 3/20. 