Usa long division to convert 4/15 to a decimal. (1 point)
To convert 4/15 to a decimal using long division, you would divide 4 by 15:
0.2
___________________
15 | 4.0
-3.0
______
10
- 9
_______
10
The division continues indefinitely. Therefore, the decimal representation of 4/15 is approximately 0.2666666666...
To convert the fraction 4/15 to a decimal using long division, follow these steps:
1. Write down the fraction 4/15.
0.266 (rounded to three decimal places)
—————————
15 ) 4.000
30
————
10
0
2. Start by dividing 4 by 15. The quotient is 0. Then, write the decimal point in the quotient and place a zero after it.
3. Multiply the divisor, 15, by the quotient digit, 0. The result is 0.
4. Subtract the product (0) from the dividend (4). The result is 4.
5. Bring down the next digit from the dividend, which is 0.
6. Divide 40 by 15. The quotient is 2. Write this digit after the decimal point.
7. Multiply the divisor, 15, by the new quotient digit, 2. The result is 30.
8. Subtract the product (30) from the dividend (40). The result is 10.
9. Since there are no more digits to bring down, the division process ends.
10. The final quotient is 0.266 (rounded to three decimal places), which is the decimal representation of 4/15.
To convert the fraction 4/15 to a decimal using long division, follow these steps:
1. Set up the division problem by writing 4 as the dividend and 15 as the divisor:
____
15 | 4
2. Perform the division by dividing the first digit of the dividend (4) by the divisor (15). Write the quotient on top of the division symbol, above the line:
____
15 | 4
0
3. Since the first digit of the dividend (4) is smaller than the divisor (15), we bring down the next digit of the dividend, which is a 0. Write it next to the previous quotient:
____
15 | 4
0
4. Now, divide the new dividend (40) by the divisor (15). Write the quotient on top and perform the calculation:
____
15 | 4
0
-30
10
5. Again, the new dividend (10) is smaller than the divisor (15). We bring down the next digit of the dividend, which is also a 0:
____
15 | 4
0
-30
10
- 0
6. Divide the new dividend (100) by the divisor (15). Write the quotient on top and perform the calculation:
____
15 | 4
0
-30
10
- 0 6
60
7. Repeat the process until you obtain the desired level of precision or until you notice a pattern. In this case, we observe that the decimal does not repeat, so the division ends here.
8. The final quotient represents the decimal equivalent of the fraction 4/15. In this case, the decimal is approximately 0.2667.
Therefore, 4/15 as a decimal is approximately 0.2667.