Question

Use long division to convert 3 and 3/8 to a decimal. (1 point)

Answer 1

To convert 3 and 3/8 to a decimal using long division, you can follow these steps:

1. Write down the whole number (3) without any decimal point: 3.

2. Rewrite the mixed number as a fraction by multiplying the whole number by the denominator (8) and adding the numerator (3): 3 + 3/8 = 24/8 + 3/8 = 27/8.

3. Perform long division by dividing the numerator (27) by the denominator (8):

3.375

________

8 | 27

- 24

____

30

- 24

____

60

- 56

____

40

4. Continue the long division until you reach the desired level of decimal places or until the remainder becomes zero. In this case, you can see that the decimal representation of 3 and 3/8 is 3.375.

Therefore, 3 and 3/8 is equal to 3.375 as a decimal.