Convert 3 18/25 to a decimal using long division.
To convert 3 18/25 to a decimal using long division, follow these steps:
1. Divide the numerator (18) by the denominator (25): 18 ÷ 25. The quotient is 0.
0
_______
25 | 18
2. Add a decimal point after the 0 and place a 0 as the next digit after the decimal point: 0.0
0.
_______
25 | 18
3. Multiply the quotient (0) by the denominator (25) and place the result (0) below the 18. Subtract the result from 18: 18 - 0 = 18.
0.0
_______
25 | 18
- 0
4. Bring down the next digit from the dividend, which is 0, and place it after the 18: 180.
0.0
_______
25 | 18
- 0
_______
180
5. Divide 180 by 25: 180 ÷ 25. The quotient is 7.
0.07
_______
25 | 18
- 0
_______
180
6. Multiply the quotient (7) by the denominator (25) and place the result (175) below the 180. Subtract the result from 180: 180 - 175 = 5.
0.07
_______
25 | 18
- 0
_______
180
- 175
_______
50
7. Since there are no more digits to bring down, the final remainder is 50.
8. To convert the remainder to a decimal, divide it by the divisor: 50 ÷ 25. The result is 2.
0.072
Therefore, 3 18/25 as a decimal is 0.072.
To convert 3 18/25 to a decimal using long division, follow these steps:
Step 1: Write down the whole number part (3) and the fractional part (18/25).
3 18/25
Step 2: Multiply the denominator (25) by the whole number (3), then add the numerator (18) to get the new dividend.
3 x 25 = 75 + 18 = 93
Step 3: Set up the division problem by placing the new dividend (93) as the dividend inside the long division symbol (÷), and the denominator (25) as the divisor outside the symbol.
_______
25 | 93
Step 4: Divide the first digit of the dividend (9) by the divisor (25). Write the quotient (0) above the division symbol, and the remainder (9) below the dividend.
0
_______
25 | 93
-0
93
-75
----
180
-175
-----
50
Step 5: Bring down the next digit from the dividend (0) and write it next to the remainder (50). This results in a new dividend (500).
0.72
Step 6: Divide the new dividend (500) by the divisor (25).
25 | 500
-475
-----
250
-250
-----
0
Step 7: The division is now complete. The quotient obtained is 0.72.
Therefore, 3 18/25 as a decimal using long division is 3.72.
To convert the mixed number 3 18/25 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
3 18/25 = (3 * 25 + 18) / 25 = 93/25
Step 2: Perform long division by dividing the numerator (93) by the denominator (25).
__3.72_
25 | 93.00
-75
-----
180
-175
-----
50
Step 3: Read the quotient as the decimal value.
The decimal representation of 3 18/25 is 3.72.
Therefore, the decimal representation of 3 18/25 using long division is 3.72.