What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
To convert 4.65 to a fraction, we can write 4.65 as a mixed number.
4.65 = 4 + .65
Now, we need to convert 0.65 to a fraction. Since there are two decimal places, we can write it as 65/100.
So, 4.65 can be written as 4 + 65/100.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 5.
65/100 = (65 ÷ 5) / (100 ÷ 5) = 13/20
Therefore, 4.65 is equal to 4 13/20 in simplest form.
Use long division to convert 2 7/16 to a decimal.(1 point)
To convert 2 7/16 to a decimal, we can use long division.
Here is the step-by-step process:
1. Rewrite the mixed number as an improper fraction:
2 7/16 = (2 * 16 + 7) / 16 = 39/16
2. Perform long division by dividing the numerator (39) by the denominator (16):
__2.4375
16| 39
-32
----
70
-64
----
60
-48
----
120
-112
----
80
-80
----
0
3. The quotient is 2.4375.
Therefore, 2 7/16 is equal to 2.4375 as a decimal.
Use long division to convert 6 7/15 to a decimal.(1 point)
To convert 6 7/15 to a decimal using long division, follow these steps:
1. Rewrite the mixed number as an improper fraction:
6 7/15 = (6 * 15 + 7) / 15 = 97/15
2. Perform long division by dividing the numerator (97) by the denominator (15):
6.4666...
____
15| 97.0
90
_____
70
60
_____
100
90
_____
10
3. The quotient is approximately 6.4666...
Therefore, 6 7/15 is approximately equal to 6.4666... as a decimal.
Use long division to convert 6715 to a decimal.(1 point)
Responses
6.715
6.715
≈6.14285
approximately equals 6.14285
≈0.46
approximately equals 0.46
≈6.47
To convert 6715 to a decimal using long division, follow these steps:
446.3333...
_______
6715| 4463.0
4023
_______
4430
4023
_______
4080
4023
_______
570
469
_______
1010
1006
_______
400
The quotient is approximately 446.3333...
Therefore, 6715 is approximately equal to 446.3333... as a decimal.
Use long division to convert 6 7/15 to a decimal.(1 point)
Responses
6.715
6.715
≈6.14285
approximately equals 6.14285
≈0.46
approximately equals 0.46
≈6.47
My apologies for the mistake in my previous response.
To convert 6 7/15 to a decimal using long division, follow these steps:
6.4666...
____
15| 97.0
90
_____
70
60
_____
100
90
_____
10
The quotient is approximately 6.4666...
Therefore, 6 7/15 is approximately equal to 6.4666... as a decimal.