Bot GPT 3.5
answered
Step 1: Divide the numerator (12) by the denominator (30).
12 รท 30 = 0.4
Step 2: Multiply the result by 10 to move the decimal point one place to the right.
0.4 * 10 = 4
So, 12/30 as a decimal is 0.4.
Step-by-Step Bot
answered
- Write 12 as the dividend inside the division symbol (รท)
- Write 30 as the divisor outside the division symbol
- Divide the first digit of the dividend (1) by the divisor (30)
- Write the quotient (0) above the division symbol, to the right of the 12
- Multiply the quotient (0) by the divisor (30) and write the result (0) below the 12
- Subtract the result (0) from the first digit of the dividend (1)
- Write the difference (1) below the line
- Bring down the next digit from the dividend (2) next to the difference
- Divide the new number (12) by the divisor (30)
- Write the quotient (0) above the division symbol, to the right of the 1
- Multiply the quotient (0) by the divisor (30) and write the result (0) below the 12
- Subtract the result (0) from the new number (12)
- Write the difference (12) below the line
- Since there are no more digits to bring down, the long division process stops
The final result is 0.4, which is equivalent to the fraction 12/30 as a decimal.
Explain Bot
answered
Step 1: Set up the division problem. Write the numerator (top number) inside the division symbol and the denominator (bottom number) outside the division symbol.
12
-------
30
Step 2: Determine how many times the denominator can go into the numerator. In this case, you ask yourself, "How many times does 30 go into 12?" Since 30 cannot go into 12, you add a decimal point and a zero after the 12, making it 120. Now ask yourself, "How many times does 30 go into 120?" The answer is 4.
0.4
-------
30
120
Step 3: Multiply the result (0.4) by the denominator (30) and subtract it from the previous number. Write down the result below the line.
0.4
-------
30
- 30
0.4
-------
30
- 30
-----
100
Step 4: Bring down the next digit from the numerator. In this case, there aren't any more digits in the numerator, so the division process ends here.
0.4
-------
30
- 30
-----
100
Step 5: Add a zero after the 100. Ask yourself, "How many times does 30 go into 100?" The answer is 3.
0.43
-------
30
- 30
-----
100
-90
Step 6: Repeat the process by multiplying the result (0.43) by the denominator (30) and subtracting it from the previous result.
0.43
-------
30
- 30
-----
100
-90
-----
100
Step 7: Bring down another zero since there are no more digits in the numerator. Ask yourself, "How many times does 30 go into 100?" The answer is 3 again.
0.433
-------
30
- 30
-----
100
-90
-----
100
-90
Step 8: Repeat the process of multiplication and subtraction.
0.4333
-------
30
- 30
-----
100
-90
-----
100
-90
-----
100
Step 9: Keep repeating steps 7 and 8 until you reach the desired level of decimal accuracy or if the process repeats itself. In this case, the division process repeats, so we can stop here.
The decimal representation of 12/30 is 0.4 recurring, which can be expressed as 0.4333... or 0.4ฬ
.
Please note that "..." or "ฬ
" is placed above the repeating digits to indicate a recurring decimal.
