Question

Find the decimal equivalent to 4/15​

Answer 1

Answer:

$.2666$ (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.