Use long division to convert 4/15 to a decimal.
Responses
26
≈0.27
4.15
3.75
The correct answer is ≈0.27.
Use long division to convert 7/11 to a decimal.
Responses
≈1.571428
7.11
≈0.63
63
To convert 7/11 to a decimal using long division, follow these steps:
1. Divide 7 by 11. Write the quotient (the whole number part) on top and the remainder (the decimal part) to the right.
0.6
_____________
11 | 7.0
2. Multiply the remainder by 10 and bring down the next digit of the dividend (which is 0, in this case).
0.6
_____________
11 | 7.0
-6
10
3. Divide this new number (10) by 11 and write the quotient on top, as well as the remainder to the right.
0.63
_____________
11 | 7.0
-6
10
- 9
10
4. Multiply the remainder (9) by 10 and bring down the next digit of the dividend (which is 0, in this case).
0.63
_____________
11 | 7.0
-6
10
- 9
10
5. Repeat the process of dividing the new number (100) by 11 until you obtain the desired level of accuracy.
Keeping in mind that the division process will continue indefinitely, the approximate decimal value of 7/11 is ≈0.63.
Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
≈5.3
5.1875
0.1875
5.36
To convert 5 3/16 to a decimal using long division, follow these steps:
1. Convert the mixed number 5 3/16 to an improper fraction. Multiply the whole number (5) by the denominator (16), and add the numerator (3) to get the new numerator. Keep the denominator the same.
5 3/16 = (5 * 16 + 3) / 16 = 83/16
2. Divide 83 by 16. Write the quotient (the whole number part) on top and the remainder (the decimal part) to the right.
5.18
_____________
16 | 83
3. Multiply the remainder (3) by 10 and bring down the next digit of the dividend (which is 0, in this case).
5.18
_____________
16 | 83
-80
30
4. Divide this new number (30) by 16 and write the quotient on top, as well as the remainder to the right.
5.1875
_____________
16 | 83
-80
30
-32
80
5. Multiply the remainder (80) by 10 and bring down the next digit of the dividend (which is 0, in this case).
5.1875
_____________
16 | 83
-80
30
-32
80
6. Repeat the process of dividing the new number (800) by 16 until you obtain the desired level of accuracy.
Keeping in mind that the division process will continue indefinitely, the decimal value of 5 3/16 is 5.1875.