Use long division to convert 6 7/15 to a decimal.(1 point) Responses ≈6.14285 approximately equals 6.14285 ≈0.46 approximately equals 0.46 6.715 6.715 ≈6.47
To convert 6 7/15 to a decimal using long division, we divide 7 by 15:
0.4
--------
15| 7.0
The result is 0.4. Therefore, 6 7/15 as a decimal is approximately 6.4.
To convert 6 7/15 to a decimal using long division, follow these steps:
1. Write down the whole number part, which is 6.
2. Convert the fraction part to a decimal. To do this, divide the numerator (7) by the denominator (15):
7 ÷ 15 = 0.46667 (rounded to five decimal places)
3. Write down the decimal part after the whole number:
6.46667
4. If you want to round the decimal, you can stop here. Otherwise, continue with long division to find a more precise answer.
5. Bring down a zero after the decimal point:
6.466670
6. Divide the number as you would in long division:
––––––––––––
15 | 64.66670
-60
––––
46
––
45
––
10
–
0
So, the decimal representation of 6 7/15 is approximately 6.46667.
To convert the mixed number 6 7/15 to a decimal using long division, follow these steps:
1. Write the mixed number as a fraction: 6 7/15 = (6 * 15 + 7) / 15 = 97/15.
2. Set up the long division with 97 as the dividend and 15 as the divisor:
6.1
--------------
15 | 97
3. Divide the first digit of the dividend (9) by the divisor (15). Since 9 is smaller than 15, we need to bring down the next digit from the dividend.
6.1
--------------
15 | 97
9
4. Divide the next two digits (97) by the divisor (15):
6.14
--------------
15 | 97
9
-----
7
5. Bring down the next digit (0) from the dividend:
6.142
--------------
15 | 97
9
-----
7 0
6. Divide 70 by the divisor (15):
6.1428
--------------
15 | 97
9
-----
7 0
- 7 5
-----
5
7. Bring down another 0 from the dividend:
6.14285
--------------
15 | 97
9
-----
7 0
- 7 5
-----
5 0
8. Finally, divide 50 by the divisor (15):
6.14285
--------------
15 | 97
9
-----
7 0
- 7 5
-----
5 0
- 4 5
-----
5 0
The division process stops here, as there are no more digits to bring down. The quotient is approximately 6.14285.