https://file.aiquickdraw.com/mathbot/file/1727468669486vl12x434.jpg

Let's convert each percentage into a decimal and round to six decimal places as needed:

### (a) \( 185\% \)
\[
185\% = \frac{185}{100} = 1.85
\]

### (b) \( 7.5\% \)
\[
7.5\% = \frac{7.5}{100} = 0.075
\]

### (c) \( 0.4\% \)
\[
0.4\% = \frac{0.4}{100} = 0.004
\]

### (d) \( 0.025\% \)
\[
0.025\% = \frac{0.025}{100} = 0.00025
\]

### (e) \( 1 \frac{1}{4}\% \)
\[
1 \frac{1}{4}\% = 1.25\% = \frac{1.25}{100} = 0.0125
\]

### (f) \( \frac{3}{4}\% \)
\[
\frac{3}{4}\% = 0.75\% = \frac{0.75}{100} = 0.0075
\]

### (g) \( 162 \frac{1}{2}\% \)
\[
162 \frac{1}{2}\% = 162.5\% = \frac{162.5}{100} = 1.625
\]

### (h) \( 11 \frac{3}{4}\% \)
\[
11 \frac{3}{4}\% = 11.75\% = \frac{11.75}{100} = 0.1175
\]

### (i) \( 8 \frac{1}{3}\% \)
\[
8 \frac{1}{3}\% = \left(8 + \frac{1}{3}\right)\% = \frac{25}{3}\% = \frac{25}{300} \approx 0.083333
\]
(Rounded to six decimal places)

### (j) \( 83 \frac{1}{3}\% \)
\[
83 \frac{1}{3}\% = \left(83 + \frac{1}{3}\right)\% = \frac{250}{3}\% = \frac{250}{300} \approx 0.833333
\]
(Rounded to six decimal places)

### (k) \( 26 \frac{2}{3}\% \)
\[
26 \frac{2}{3}\% = \left(26 + \frac{2}{3}\right)\% = \frac{80}{3}\% = \frac{80}{300} \approx 0.266667
\]
(Rounded to six decimal places)

### (l) \( 10 \frac{3}{8}\% \)
\[
10 \frac{3}{8}\% = \left(10 + \frac{3}{8}\right)\% = 10.375\% = \frac{10.375}{100} = 0.10375
\]

### Final Answers:
- (a) \(1.85\)
- (b) \(0.075\)
- (c) \(0.004\)
- (d) \(0.00025\)
- (e) \(0.0125\)
- (f) \(0.0075\)
- (g) \(1.625\)
- (h) \(0.1175\)
- (i) \(0.083333\)
- (j) \(0.833333\)
- (k) \(0.266667\)
- (l) \(0.10375\)

Would you like me to explain any part of these calculations further?

### Related Questions
1. How do you convert a fraction to a percentage?
2. What is the difference between a percentage and a decimal?
3. How do you convert a mixed number to an improper fraction?
4. How do you round decimals to a specific number of places?
5. Why is dividing by 100 necessary when converting from percentage to decimal?

### Tip
When converting a percentage to a decimal, simply divide by 100 or move the decimal point two places to the left.

Change each of the following percents into a decimal and round to six decimal places as needed.

Learn how to convert various percentages, including mixed numbers and fractions, into decimals. This example provides step-by-step solutions, rounding results to six decimal places as needed. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation