To convert 27/50 to a decimal using long division, follow these steps:
1. Divide 27 by 50: 27 รท 50 = 0.54.
2. Therefore, the correct answer is 0.54 from the given options.
1. Divide 27 by 50: 27 รท 50 = 0.54.
2. Therefore, the correct answer is 0.54 from the given options.
1. Multiply the whole number (3) by the denominator (8): 3 x 8 = 24.
2. Add the numerator (3) to the result: 24 + 3 = 27.
3. Write the sum (27) as the numerator and keep the denominator (8): 27/8.
4. Divide 27 by 8 using long division:
3
__________
8 โ 27
5. The quotient is 3, and there is a remainder of 3.
6. Write the quotient (3) as the whole number part and the remainder (3) as the numerator. The denominator remains the same: 3 3/8.
7. Therefore, the correct answer is 3.375 from the given options.
1. Set up the long division: divide 4 by 15.
2. Since 4 is less than 15, add a decimal point after the 4 and append a 0 after the decimal point to continue the division: 4.0.
3. Divide 15 by 4. The quotient is 0 with a remainder of 15.
4. Bring down another 0 to the right of the remainder: 150.
5. Divide 15 by 4 again. The quotient is 3.
6. Bring down the next 0: 1500.
7. Divide 15 by 4 once more. The quotient is 3.
8. Continue dividing by 4 until you reach the desired level of precision or establish a recurring pattern.
The division process will continue indefinitely with a repeating decimal pattern: 4/15 = 0.26(6), where the digits 26 repeat infinitely.
Therefore, the closest approximation from the given options is ~0.27.
1. Set up the long division: divide 7 by 11.
2. Since 7 is less than 11, add a decimal point after the 7 and append a 0 after the decimal point to continue the division: 0.7.
3. Divide 11 by 7. The quotient is 1 with a remainder of 4.
4. Bring down another 0 to the right of the remainder: 40.
5. Divide 11 by 7 again. The quotient is 5.
6. Bring down the next 0: 40.
7. Divide 11 by 7 once more. The quotient is 5.
8. Continue dividing by 7 until you reach the desired level of precision or establish a recurring pattern.
The division process will continue indefinitely with a repeating decimal pattern: 7/11 = 0.63(63), where the digits 63 repeat infinitely.
Therefore, the closest approximation from the given options is ~0.63.
1. Multiply the whole number (5) by the denominator (16): 5 x 16 = 80.
2. Add the numerator (3) to the result: 80 + 3 = 83.
3. Write the sum (83) as the numerator and keep the denominator (16): 83/16.
4. Divide 83 by 16 using long division:
5
_______
16 โ 83
5. The quotient is 5, and there is a remainder of 3.
6. Write the quotient (5) as the whole number part and the remainder (3) as the numerator. The denominator remains the same: 5 3/16.
7. Therefore, the correct answer is 5.1875 from the given options.
1. Write down the fraction 27/50.
2. Place the dividend (27) inside the long division bracket and the divisor (50) outside the bracket.
3. Divide the first digit of the dividend (2) by the divisor (5). The quotient (0) will be written above the division bracket.
4. Multiply the divisor (50) by the quotient (0) and write the product (0) below the dividend.
```
50 | 27
0
------
```
5. Subtract the number obtained in step 4 (0) from the first digit of the dividend (27). Write the result (27) below the line.
```
50 | 27
0
------
27
```
6. Bring down the next digit of the dividend (0) and write it next to the result from step 5 (27).
```
50 | 27
0
------
270
```
7. Divide the new number (270) by the divisor (50). The quotient (5) will be written above the division bracket.
```
50 | 27
0
------
270
-250
```
8. Multiply the divisor (50) by the quotient (5) and write the product (250) below the new number (270).
```
50 | 27
0
------
270
-250
------
20
```
9. Subtract the number obtained in step 8 (250) from the new number (270). Write the result (20) below the line.
```
50 | 27
0
------
270
-250
------
20
```
10. Since there are no more digits to bring down, the division is complete. The remainder is 20.
11. To convert the fraction to a decimal, divide the remainder (20) by the divisor (50).
```
50 | 27
0.54
------
270
-250
------
20
```
12. The decimal form of the fraction 27/50 is 0.54.
Therefore, the answer is 0.54.