The image shows a math coloring activity worksheet focused on converting between fractions, decimals, and percents. The task involves solving problems related to these conversions and then using the answers to color a flower-themed design according to a provided key. Below is a detailed explanation of how to solve each problem:
---
Problem 1: Re-write $\frac{3}{8}$ as a percent.
-
Solution: To convert a fraction to a percent, first convert it to a decimal by dividing the numerator by the denominator:
\[
\frac{3}{8} = 0.375
\]
Then, multiply the decimal by 100 to get the percentage:
\[
0.375 \times 100 = 37.5\%
\]
Answer: $37.5\%$
---
Problem 2: Re-write $0.82$ as a fraction in simplest form.
-
Solution: Write $0.82$ as a fraction over 100 (since there are two decimal places):
\[
0.82 = \frac{82}{100}
\]
Simplify the fraction by finding the greatest common divisor (GCD) of 82 and 100, which is 2:
\[
\frac{82 \div 2}{100 \div 2} = \frac{41}{50}
\]
Answer: $\frac{41}{50}$
---
Problem 3: Re-write $\frac{7}{12}$ as a decimal.
-
Solution: Divide the numerator by the denominator:
\[
\frac{7}{12} \approx 0.5833\ldots
\]
Typically, you can round to a reasonable number of decimal places (e.g., 4 decimal places):
\[
0.5833
\]
Answer: $0.5833$
---
Problem 4: Re-write $0.04$ as a percent.
-
Solution: Multiply the decimal by 100 to convert it to a percent:
\[
0.04 \times 100 = 4\%
\]
Answer: $4\%$
---
Problem 5: Re-write $20\%$ as a fraction in simplest form.
-
Solution: Write $20\%$ as a fraction over 100:
\[
20\% = \frac{20}{100}
\]
Simplify the fraction by finding the GCD of 20 and 100, which is 20:
\[
\frac{20 \div 20}{100 \div 20} = \frac{1}{5}
\]
Answer: $\frac{1}{5}$
---
Problem 6: Re-write $15\%$ as a decimal.
-
Solution: Divide the percent by 100 to convert it to a decimal:
\[
15\% = \frac{15}{100} = 0.15
\]
Answer: $0.15$
---
Problem 7: Order from least to greatest: $0.3$, $32\%$, $0.4$.
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Solution: Convert all values to the same form (decimals for simplicity):
- $0.3$ remains $0.3$
- $32\% = \frac{32}{100} = 0.32$
- $0.4$ remains $0.4$
Now, order them:
\[
0.3 < 0.32 < 0.4
\]
Answer: $0.3$, $32\%$, $0.4$
---
Problem 8: Order from least to greatest: $15\%$, $0.015$, $\frac{1}{8}$.
-
Solution: Convert all values to decimals:
- $15\% = \frac{15}{100} = 0.15$
- $0.015$ remains $0.015$
- $\frac{1}{8} = 0.125$
Now, order them:
\[
0.015 < 0.125 < 0.15
\]
Answer: $0.015$, $\frac{1}{8}$, $15\%$
---
Final Answer
After solving all the problems, use the answers to color the corresponding sections on the flower design according to the provided key. The final answer to the worksheet is the completed coloring activity.
Boxed Final Answer:
\[
\boxed{\text{Completed Coloring Activity}}
\]
Parent Tip: Review the logic above to help your child master the concept of convert fractions decimals and percents worksheet.
