Answer:
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8
Step-by-step explanation:
A. Write the fraction or mixed number as a terminating or repeating decimal.
In order to convert a fraction into decimal, the numerator has to be divided by denominator.
1. 1/2
The answer is: 0.5 which is a terminating decimal.
2. 5/6
The answer is: 0.833333.. which is a repeating decimal.
3. 2 1/3 (assuming the question is this)
![2\frac{1}{3} = \frac{7}{6} = 1.6666666..](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B7%7D%7B6%7D%20%3D%201.6666666..)
The answer is 1.6666666.. which is a repeating decimal.
B. Write the terminating decimal as fraction or mixed number i
n simplest form.
1. 0.6
![0.6 = \frac{6}{10} = \frac{3}{5}](https://tex.z-dn.net/?f=0.6%20%3D%20%5Cfrac%7B6%7D%7B10%7D%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
2. 1.25
![1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}](https://tex.z-dn.net/?f=1.25%20%3D%20%5Cfrac%7B125%7D%7B100%7D%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%3D%201%5Cfrac%7B1%7D%7B4%7D)
3. 0.125
![0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}](https://tex.z-dn.net/?f=0.125%20%3D%20%5Cfrac%7B125%7D%7B1000%7D%20%3D%20%5Cfrac%7B5%7D%7B40%7D%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
Hence,
Question A:
1. 1/2 = 0.5 (Terminating)
2. 5/6 = 0.833333.. (Repeating)
3. 21/3 = 1.6666666.. (Repeating)
Question B:
1. 0.6 = 3/5
2. 1.25 = 5/4 = 1 1/4
3. 0.125 = 1/8