Answer:
[tex].2666[/tex] (repeating, which is usually signified by a line over the 6, but I couldn't type that)
Step-by-step explanation:
________
15 | 4
__._____
15 | 4 0 since 15 is bigger than 4, add a 0 here.
make sure you also place a decimal point
above (above the place directly after 4) so your
answer isn't larger than it should be.
__.2____
15 | 4 0
3 0 15*2 = 30. that's as close to 40 as we're going to get.
__.2____
15 | 4 0
-30
10 40 - 30 = 10.
__.2____
15 | 4 0
-30
1 0 0 bring down an imaginary 0.
__.26___
15 | 4 0
-30
1 0 0
- 90 15*6 = 90. that's as close to 100 as we're going to get.
1 0
Notice that we keep getting 10 as a remainder again if we keep going. So 6 keeps repeating on top, which is why it's a repeating decimal. Once you realize it's the same number again and again the further you divide it, you can stop and write the line over the 6.
