Use long division to convert 27/50 to a decimal.(1 point)
Responses
5.4
5.4
1.851
1.851
0.54
0.54
27.5
0.54
Use long division to convert 3 3/8 to a decimal.(1 point)
Responses
2.66
2.66
33.75
33.75
0.375
0.375
3.375
3.375
Use long division to convert 4/15 to a decimal.(1 point)
Responses
≈0.27
approximately equals 0.27
3.75
3.75
4.15
4.15
26
≈0.27
Use long division to convert 7/11 to a decimal.(1 point)
Responses
63
63
≈0.63
approximately equals 0.63
≈1.571428
approximately equals 1.571428
7.11
≈0.63
Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
5.1875
5.1875
≈5.3
approximately equals 5.3
5.36
5.36
0.1875
5.3125
To convert the fraction 27/50 to a decimal using long division, you would follow these steps:
1. Set up the long division with 27 as the dividend and 50 as the divisor:
0.54 <-- This will be the result
______
50 │ 27
2. Divide 27 by 50. Since the divisor is larger than the dividend, we need to add a decimal point and a zero to continue the division:
0.54
______
50 │ 27.00
3. Divide 27 by 50, and write the quotient (the result) above the horizontal line (0.54):
0.54
______
50 │ 27.00
25
4. Multiply the quotient (0.54) by the divisor (50) and subtract it from the dividend (27):
0.54
______
50 │ 27.00
- 25.00
-----
200
5. Bring down the next digit (zero from 50):
0.54
______
50 │ 27.00
- 25.00
-----
200
200
6. Divide 200 by 50 and write the quotient (4) above the horizontal line:
0.54
______
50 │ 27.00
- 25.00
-----
200
200
-200
-------
0
7. Since there is no remainder left, we have successfully divided 27 by 50 without any decimals. Therefore, the fraction 27/50 is equal to the decimal 0.54.
Based on the long division process, the correct answer is option (C) 0.54.