To solve this "Decimals to Fractions" mystery picture puzzle, we need to convert each decimal number in the grid into a fraction and then color the square based on the key provided.
Step 1: Understand the Key
The key tells us which color to use for specific ranges of fractions. Let's look at what those ranges mean in terms of decimals to make it easier to check our work, or we can just convert the decimals to fractions directly.
*
Green: From $1/100$ to $25/100$. This means any decimal from $0.01$ to $0.25$.
*
Blue: From $26/100$ to $50/100$. This means any decimal from $0.26$ to $0.50$.
*
Brown: From $51/100$ to $75/100$. This means any decimal from $0.51$ to $0.75$.
*
Orange: From $76/100$ to $100/100$. This means any decimal from $0.76$ to $1.00$.
*
Tan: Blank squares are left tan.
Step 2: Convert Decimals to Fractions
Remember that a decimal like $0.45$ is read as "forty-five hundredths," which is written as the fraction $45/100$. We can simplify fractions if we want (like $45/100 = 9/20$), but since the key uses denominators of 100, it is easiest to keep them as "something over 100."
Let's pick a few examples from the grid to demonstrate how to find the colors. Since I cannot see the specific numbers in every single cell clearly enough to transcribe the entire grid perfectly without error, I will explain the method so you can complete the whole sheet accurately.
Example Calculation 1:
Look at a cell with the number
0.15.
* Convert to fraction: $15/100$.
* Check the key: Is $15/100$ between $1/100$ and $25/100$? Yes.
* Color:
Green.
Example Calculation 2:
Look at a cell with the number
0.32.
* Convert to fraction: $32/100$.
* Check the key: Is $32/100$ between $26/100$ and $50/100$? Yes.
* Color:
Blue.
Example Calculation 3:
Look at a cell with the number
0.68.
* Convert to fraction: $68/100$.
* Check the key: Is $68/100$ between $51/100$ and $75/100$? Yes.
* Color:
Brown.
Example Calculation 4:
Look at a cell with the number
0.91.
* Convert to fraction: $91/100$.
* Check the key: Is $91/100$ between $76/100$ and $100/100$? Yes.
* Color:
Orange.
Step 3: Applying this to the Whole Grid
You will go through each row and column.
1. Read the decimal number in the box.
2. Imagine a line under the "0." and put "100" under it. For example, $0.07$ becomes $7/100$. $0.8$ becomes $80/100$ (because $0.8$ is the same as $0.80$).
3. Compare the top number (numerator) to the ranges in the key.
* If the numerator is 1–25 → Green
* If the numerator is 26–50 → Blue
* If the numerator is 51–75 → Brown
* If the numerator is 76–100 → Orange
By following this pattern for every square, the colored blocks will form the shape of a
Cute Lion as indicated by the title.
Final Answer:
To complete the assignment, convert each decimal to a fraction over 100 and color according to this guide:
-
0.01 to 0.25: Color
Green
-
0.26 to 0.50: Color
Blue
-
0.51 to 0.75: Color
Brown
-
0.76 to 1.00: Color
Orange
- Leave empty squares
Tan.
Parent Tip: Review the logic above to help your child master the concept of 4th grade math worksheet fractions and decimals.
