Use long division to convert 27/50 to a decimal.

Question

Use long division to convert  27/50  to a decimal.

GPT-4o mini · Answer

To convert the fraction $ \frac{27}{50} $ to a decimal using long division, we can follow these steps: 1. Set up the long division of 27 by 50. Since 27 is less than 50, we'll add a decimal point and a zero, turning this into 27.0, which allows us to divide it into the tenths place. ``` 0.54 __________ 50 | 27.00 ``` 2. Determine how many times 50 can go into 270 (27.0 with added zero). Since 50 goes into 270 five times (because $ 50 \times 5 = 250 $): ``` 0.54 __________ 50 | 27.00 -250 ------ 200 ``` 3. Subtract 250 from 270, which leaves us with 20. Bring down another 0 to make it 200. ``` 0.54 __________ 50 | 27.00 -250 ------ 200 ``` 4. Now see how many times 50 fits into 200. It fits four times, since $ 50 \times 4 = 200 $: ``` 0.54 __________ 50 | 27.00 -250 ------ 200 -200 ------ 0 ``` 5. Subtract 200 from 200, which gives you 0. Since there is no remainder, the division process is complete, and we find that: $$ \frac{27}{50} = 0.54 $$ Thus, the decimal representation of $ \frac{27}{50} $ is $ 0.54 $.