Question

write each fraction or mixed number as a decimal. use bar notation if needed.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.

Explanation:

Step1: Analyze the first fraction (let's take $\frac{6}{5}$ as an example)

To convert a fraction to a decimal, divide the numerator by the denominator. For $\frac{6}{5}$, we do $6 \div 5$.
$6\div5 = 1.2$

Step2: Analyze the second fraction $\frac{30}{120}$

Simplify the fraction first (optional, but easier). $\frac{30}{120}=\frac{1}{4}$. Then $1\div4 = 0.25$

Step3: Analyze the mixed number $1\frac{7}{9}$ (assuming it's $1\frac{7}{9}$ from the image)

A mixed number $a\frac{b}{c}$ is equal to $a+\frac{b}{c}$. So $1\frac{7}{9}=1 + \frac{7}{9}$. Calculate $\frac{7}{9}\approx0.777\cdots$ (repeating decimal, so $0.\overline{7}$), then add 1: $1 + 0.\overline{7}=1.\overline{7}$

Step4: Analyze $\frac{1}{6}$

Divide 1 by 6: $1\div6\approx0.1666\cdots$ (repeating decimal, so $0.1\overline{6}$)

Step5: Analyze $5\frac{11}{40}$

First, convert the fraction part: $\frac{11}{40}=11\div40 = 0.275$. Then add the whole number: $5 + 0.275 = 5.275$

Step6: Analyze $5\frac{23}{50}$

Convert the fraction part: $\frac{23}{50}=23\div50 = 0.46$. Add the whole number: $5 + 0.46 = 5.46$

Step7: Analyze $\frac{5}{3000}$

Simplify: $\frac{5}{3000}=\frac{1}{600}$. Then $1\div600\approx0.001666\cdots$ (repeating decimal, $0.001\overline{6}$)

Step8: Analyze $\frac{3}{175}$

Divide 3 by 175: $3\div175 = 0.0171428571428\cdots$ (repeating cycle of 142857? Wait, $175 = 25\times7$, so $3\div175 = 0.0171428571428\cdots$ (let's calculate: $3\div175 = 0.017142857142857\cdots$)

Step9: Analyze $\frac{27}{30}$ (assuming it's $\frac{27}{30}$)

Simplify: $\frac{27}{30}=\frac{9}{10}=0.9$

Step10: Analyze $\frac{9}{11}$

Divide 9 by 11: $9\div11\approx0.8181\cdots$ (repeating decimal, $0.\overline{81}$)

Step11: Analyze $\frac{7}{40}$

Divide 7 by 40: $7\div40 = 0.175$

(Note: The exact fractions depend on the clarity of the image, but the general method is to divide numerator by denominator for proper/improper fractions, and for mixed numbers, convert the fraction part and add the whole number.)

(for $\frac{6}{5}$):
To convert $\frac{6}{5}$ to a decimal, divide 6 by 5.

Step1: Perform the division

$6\div5 = 1.2$

Answer:

(Examples of answers for each problem, assuming the problems are:

1. $\frac{6}{5}=1.2$
2. $\frac{30}{120}=0.25$
3. $1\frac{7}{9}=1.\overline{7}$
4. $\frac{1}{6}=0.1\overline{6}$
5. $5\frac{11}{40}=5.275$
6. $5\frac{23}{50}=5.46$
7. $\frac{5}{3000}\approx0.001\overline{6}$
8. $\frac{3}{175}\approx0.017142857\cdots$
9. (Assuming a fraction, e.g., $\frac{27}{30}=0.9$)
10. $\frac{9}{11}=0.\overline{81}$
11. $\frac{7}{40}=0.175$)

(The specific answers depend on the exact fractions in the image, but the method is as above. For example, if we take the first problem $\frac{6}{5}$: )