Write the decimal equivalent, using the bar notation. 13/18



b) Find the decimal equivalent of the mixed number. 6 3/5

We'll be glad to check your answers.

.7223

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a) To find the decimal equivalent of a fraction using the bar notation, you can divide the numerator by the denominator. In this case, we have 13 divided by 18.

To divide 13 by 18, you can set it up as a long division problem:

0.722..
__________
18 | 13.000
- 9 0
_______
300
- 18
_______
120
- 108
_______
120
- 108
_______
120
- 108
_______
120

Since the remainder of the division repeats a pattern of 120, we can write the decimal equivalent as 0.7222... (the bar notation represents the repeating pattern).

b) To find the decimal equivalent of a mixed number, you need to convert it to an improper fraction first.

In this case, the mixed number is 6 3/5. To convert it to an improper fraction, you multiply the whole number (6) by the denominator (5) and add the numerator (3). This gives us a new numerator of 33 and the same denominator of 5.

So, the improper fraction is 33/5.

Now, to find its decimal equivalent, we can divide 33 by 5:

6.6
__________
5 | 33.000
- 30
_______
300
- 30
_______
0

The division terminates with no remainder, so the decimal equivalent of 6 3/5 is exactly 6.6.