use long division to convert six 7/15 to a decimal
To convert six 7/15 to a decimal using long division, follow these steps:
1. Write down 6 as the dividend and 7/15 as the divisor:
__________
15 │ 6
2. Divide the first digit of the dividend by the divisor and write the result above the line:
__________
15 │ 6.4
3. Multiply the result above by the divisor and subtract it from the dividend. Write the remainder below the line:
__________
15 │ 6.4
-4.5
---
15
4. Bring down the next digit from the dividend (which is 0):
__________
15 │ 6.4
-4.5
---
15
0
5. Divide the new dividend (which is 0) by the divisor:
__________
15 │ 6.4
-4.5
---
15
03
6. The division ends here because the remainder is 0. The decimal representation of six 7/15 is 6.4.
To convert a mixed number to a decimal using long division, you can follow these steps:
Step 1: Write down the mixed number in the long division format. In this case, the mixed number is 6 7/15. Write it as 6.7/15, where the decimal point separates the whole number part (6) from the fraction part (7/15).
Step 2: Multiply the fraction by 10 until the denominator (15) becomes 10 or a multiple of 10. In this case, we can multiply both the numerator and denominator by 2 to get rid of the fraction: 7/15 * 2/2 = 14/30.
Step 3: Divide the numerator by the denominator. In this case, divide 14 by 30. The result is 0.4666666667 (the 6 repeats infinitely).
So, 6 7/15 as a decimal is approximately 6.467.