Mixed Numbers to Decimals Game

Mixed Numbers to Decimals Quiz/Game
This game focuses on converting mixed numbers to decimals. You may need to round your answers to 2 decimal places. Scroll down the page for a more detailed explanation. Check out this other game where the mixed numbers can easily convert to decimals.

 

 

How to Play the Mixed Numbers to Decimals Game

1. Look at the Problem: Read the problem carefully. Solve it and select one of the answers.
   
2. Check Your Answer: If you selected the right answer, it will be highlighted in green. If you are wrong, it will be highlighted in red and the correct answer will be highlighted in green. A hint will be given to help you find the correct answer.
   
3. Get a New Problem: Click “Next Question” for a new problem.
   Your score is tracked, showing how many you’ve gotten right.
   
4. Finish Game When you have completed 10 questions, your final score will be displayed.
    
   

How to Convert Mixed Numbers to Decimals
Converting a mixed number to a decimal involves two-step process. You treat the whole number and the fraction separately, then combine them at the end.

Step 1: Keep the Whole Number
The whole number in a mixed number (the big number to the left) stays exactly the same. It will be the number to the left of the decimal point.
Example: In \(4\frac{3}{5}\), the 4 is your whole number. Your decimal will start with 4.

Step 2: Convert the Fraction
To turn the fraction into a decimal, remember that the fraction bar literally means “divided by.”
You divide the top number (numerator) by the bottom number (denominator).
Using our example: \(4\frac{3}{5}\).
Take the fraction: \(\frac{3}{5}\).
Divide: 3 ÷ 5.
3 ÷ 5 = 0.6.

Step 3: Combine Them
Add your whole number from Step 1 to your decimal from Step 2.
4 (Whole Number) + 0.6 (Decimal Part) = 4.6

Special Case: Non-Terminating Decimals
Sometimes, when you divide the fraction, the number goes on forever (like $1 \div 3 = 0.333…$). In these cases, you usually round to a specific place value, such as two decimal places.
Example: \(2\frac{2}{3}\)
Divide: 2 ÷ 3 = 0.6666…
Round to two places: 0.67.
Combine: 2.67.

Common Conversions to Memorize
Learning these “benchmarks” will make you much faster at math:
\(\frac{1}{2} = 0.5\)
\(\frac{1}{4} = 0.25\)
\(\frac{3}{4} = 0.75\)
\(\frac{1}{5} = 0.2\)
\(\frac{1}{8} = 0.125\)
 

This video gives a clear, step-by-step approach to explain how to convert mixed numbers to decimals.

• Show Video

 

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