What is 0.04 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
410
Start Fraction 4 over 10 End Fraction
25
Start Fraction 2 over 5 End Fraction
250
Start Fraction 2 over 50 End Fraction
125
Start Fraction 1 over 25 End Fraction
The correct answer is:
Start Fraction 1 over 25 End Fraction
What is 12.8 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
12225
12 Start Fraction 2 over 25 End Fraction
12810
12 Start Fraction 8 over 10 End Fraction
1245
12 Start Fraction 4 over 5 End Fraction
128
Start Fraction 12 over 8 End Fraction
The correct answer is:
12 Start Fraction 4 over 5 End Fraction
What is 0.75 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
75100
Start Fraction 75 over 100 End Fraction
75
Start Fraction 7 over 5 End Fraction
340
Start Fraction 3 over 40 End Fraction
34
The correct answer is:
Start Fraction 3 over 4 End Fraction
Marcus is making granola mix. He needs 6.125 cups of granola. His measuring cups are only in fractions. How many cups is 6.125 in fraction form? Simplify, if possible.(1 point)
Responses
618
6 Start Fraction 1 over 8 End Fraction
654
6 Start Fraction 5 over 4 End Fraction
6125
6 Start Fraction 1 over 25 End Fraction
61251,000
6 Start Fraction 125 over 1,000 End Fraction
The correct answer is:
6 Start Fraction 1 over 8 End Fraction
Use long division to convert 316 to a decimal.
To convert 316 to a decimal using long division:
1. Place a decimal point after the 6: 316.
2. Divide 3 by 16. The quotient is 0.
3. Bring down the next digit, which is 1. Divide 31 by 16. The quotient is 1.
4. Subtract 16 from 31, which equals 15. Bring down the next digit, which is 5.
5. Divide 155 by 16. The quotient is 9.
6. Subtract 16 from 155, which leaves a remainder of 4.
7. Bring down the next digit, which is 0. Divide 40 by 16. The quotient is 2.
8. Subtract 32 from 40, which leaves a remainder of 8.
9. Bring down the final digit, which is also 0. Divide 80 by 16. The quotient is 5.
10. Subtract 80 from 80, which leaves no remainder.
The final quotient is 0.19125. Therefore, 316 as a decimal is approximately 0.19125.
Use long division to convert 3/16 to a decimal.
To convert 3/16 to a decimal using long division:
1. Start by dividing 3 by 16. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (3) by 10 to get 30.
4. Divide 30 by 16. The quotient is 1.
5. Subtract 16 from 30, which leaves a remainder of 14.
6. Multiply the remainder (14) by 10 to get 140.
7. Divide 140 by 16. The quotient is 8.
8. Subtract 128 (16 multiplied by 8) from 140, which leaves a remainder of 12.
9. Multiply the remainder (12) by 10 to get 120.
10. Divide 120 by 16. The quotient is 7.
11. Subtract 112 (16 multiplied by 7) from 120, which leaves a remainder of 8.
12. Multiply the remainder (8) by 10 to get 80.
13. Divide 80 by 16. The quotient is 5.
14. Subtract 80 (16 multiplied by 5) from 80, which leaves no remainder.
The final quotient is 0.1875. Therefore, 3/16 as a decimal is 0.1875.
Use long division to convert 11/20 to a decimal.
To convert 11/20 to a decimal using long division:
1. Start by dividing 11 by 20. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (11) by 10 to get 110.
4. Divide 110 by 20. The quotient is 5.
5. Subtract 100 (20 multiplied by 5) from 110, which leaves a remainder of 10.
6. Multiply the remainder (10) by 10 to get 100.
7. Divide 100 by 20. The quotient is 5.
8. Subtract 100 (20 multiplied by 5) from 100, which leaves no remainder.
The final quotient is 0.55. Therefore, 11/20 as a decimal is 0.55.
Use long division to convert 3 4/5 to a decimal.
To convert 3 4/5 to a decimal using long division:
1. First, convert the mixed number 3 4/5 to an improper fraction: (3 * 5 + 4) / 5 = 19/5.
2. Divide 19 by 5. The quotient is 3.
3. Add a decimal point after the 3: 3.
4. Multiply the remainder (4) by 10 to get 40.
5. Divide 40 by 5. The quotient is 8.
6. Subtract 40 (5 multiplied by 8) from 40, which leaves no remainder.
The final quotient is 3.8. Therefore, 3 4/5 as a decimal is 3.8.
Use long division to convert 13/20 to a decimal.
To convert 13/20 to a decimal using long division:
1. Start by dividing 13 by 20. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (13) by 10 to get 130.
4. Divide 130 by 20. The quotient is 6.
5. Subtract 120 (20 multiplied by 6) from 130, which leaves a remainder of 10.
6. Multiply the remainder (10) by 10 to get 100.
7. Divide 100 by 20. The quotient is 5.
8. Subtract 100 (20 multiplied by 5) from 100, which leaves no remainder.
The final quotient is 0.65. Therefore, 13/20 as a decimal is 0.65.
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place
To convert 2/9 to a decimal using long division:
1. Start by dividing 2 by 9. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (2) by 10 to get 20.
4. Divide 20 by 9. The quotient is 2.
5. Subtract 18 (9 multiplied by 2) from 20, which leaves a remainder of 2.
The final quotient is 0.2. Therefore, 2/9 as a decimal, rounded to one decimal place, is approximately 0.2.
Use long division to convert 27/50 to a decimal.(1 point)
Responses
0.54
0.54
1.851
1.851
5.4
5.4
27.5
To convert 27/50 to a decimal using long division:
1. Start by dividing 27 by 50. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (27) by 10 to get 270.
4. Divide 270 by 50. The quotient is 5.
5. Subtract 250 (50 multiplied by 5) from 270, which leaves a remainder of 20.
6. Multiply the remainder (20) by 10 to get 200.
7. Divide 200 by 50. The quotient is 4.
8. Subtract 200 (50 multiplied by 4) from 200, which leaves no remainder.
The final quotient is 0.54. Therefore, 27/50 as a decimal is 0.54.
Use long division to convert 3 3/8 to a decimal.(1 point)
Responses
0.375
0.375
2.66
2.66
33.75
33.75
3.375
To convert 3 3/8 to a decimal using long division:
1. First, convert the mixed number 3 3/8 to an improper fraction: (3 * 8 + 3) / 8 = 27/8.
2. Divide 27 by 8. The quotient is 3.
3. Add a decimal point after the 3: 3.
4. Multiply the remainder (3) by 10 to get 30.
5. Divide 30 by 8. The quotient is 3.
6. Subtract 24 (8 multiplied by 3) from 30, which leaves a remainder of 6.
7. Multiply the remainder (6) by 10 to get 60.
8. Divide 60 by 8. The quotient is 7.
9. Subtract 56 (8 multiplied by 7) from 60, which leaves a remainder of 4.
10. Multiply the remainder (4) by 10 to get 40.
11. Divide 40 by 8. The quotient is 5.
12. Subtract 40 (8 multiplied by 5) from 40, which leaves no remainder.
The final quotient is 3.375. Therefore, 3 3/8 as a decimal is 3.375.
Use long division to convert 4/15 to a decimal.(1 point)
Responses
4.15
4.15
3.75
3.75
≈0.27
approximately equals 0.27
26
26
To convert 4/15 to a decimal using long division:
1. Start by dividing 4 by 15. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (4) by 10 to get 40.
4. Divide 40 by 15. The quotient is 2.
5. Subtract 30 (15 multiplied by 2) from 40, which leaves a remainder of 10.
6. Multiply the remainder (10) by 10 to get 100.
7. Divide 100 by 15. The quotient is 6.
8. Subtract 90 (15 multiplied by 6) from 100, which leaves a remainder of 10.
9. Multiply the remainder (10) by 10 to get 100.
10. Divide 100 by 15. The quotient is 6.
11. Subtract 90 (15 multiplied by 6) from 100, which leaves a remainder of 10.
12. Multiply the remainder (10) by 10 to get 100.
13. Divide 100 by 15. The quotient is 6.
14. Subtract 90 (15 multiplied by 6) from 100, which leaves a remainder of 10.
15. Continue this process indefinitely.
As you can see, the division repeats with a remainder of 10, so the decimal is non-terminating and repeating. In decimal form, 4/15 is approximately equal to 0.26 (rounded to two decimal places) or 0.2666666... (where the 6s repeat indefinitely).
Use long division to convert 7/11 to a decimal.(1 point)
Responses
63
63
≈1.571428
approximately equals 1.571428
7.11
7.11
≈0.63
approximately equals 0.63
To convert 7/11 to a decimal using long division:
1. Start by dividing 7 by 11. The quotient is 0.
2. Add a decimal point after the 0: 0.
3. Multiply the remainder (7) by 10 to get 70.
4. Divide 70 by 11. The quotient is 6.
5. Subtract 66 (11 multiplied by 6) from 70, which leaves a remainder of 4.
6. Multiply the remainder (4) by 10 to get 40.
7. Divide 40 by 11. The quotient is 3.
8. Subtract 33 (11 multiplied by 3) from 40, which leaves a remainder of 7.
9. Multiply the remainder (7) by 10 to get 70.
10. Divide 70 by 11. The quotient is 6.
11. Subtract 66 (11 multiplied by 6) from 70, which leaves a remainder of 4.
The division continues indefinitely, with the remainder repeating as 4. Therefore, the decimal representation of 7/11 is approximately 0.636363... (where the 36 repeats indefinitely).
Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
≈5.3
approximately equals 5.3
5.36
5.36
0.1875
0.1875
5.1875
To convert 5 3/16 to a decimal using long division:
1. First, convert the mixed number 5 3/16 to an improper fraction: (5 * 16 + 3) / 16 = 83/16.
2. Divide 83 by 16. The quotient is 5.
3. Add a decimal point after the 5: 5.
4. Multiply the remainder (3) by 10 to get 30.
5. Divide 30 by 16. The quotient is 1.
6. Subtract 16 from 30, which leaves a remainder of 14.
7. Multiply the remainder (14) by 10 to get 140.
8. Divide 140 by 16. The quotient is 8.
9. Subtract 128 (16 multiplied by 8) from 140, which leaves a remainder of 12.
10. Multiply the remainder (12) by 10 to get 120.
11. Divide 120 by 16. The quotient is 7.
12. Subtract 112 (16 multiplied by 7) from 120, which leaves a remainder of 8.
13. Multiply the remainder (8) by 10 to get 80.
14. Divide 80 by 16. The quotient is 5.
15. Subtract 80 (16 multiplied by 5) from 80, which leaves no remainder.
The final quotient is 5.1875. Therefore, 5 3/16 as a decimal is 5.1875.