๐Ÿ” Case #004: The Fraction Detective Academy

Solve fraction challenges to earn your detective badge!

Challenge 1 of 15 ๐Ÿ† Score: 0 / 15
Challenge #1: Pizza Fraction

๐ŸŽฏ Click slices to shade them. Shade exactly 6 out of 8 slices (which equals 3/4)!

๐Ÿ• A pizza is cut into 8 equal slices. Shade 3/4 of the pizza.
๐Ÿ’ก Hint: 3/4 of 8 slices = 6 slices. Click any 6 slices!
Challenge #2: Fraction Matching

๐ŸŽฏ Click cards to flip them. Match equivalent fractions (3 pairs)!

๐ŸŽด Find all equivalent fraction pairs!
?
1/2
?
2/4
?
1/3
?
2/6
?
2/3
?
4/6
๐Ÿ’ก Hint: 1/2 = 2/4, 1/3 = 2/6, 2/3 = 4/6
Challenge #3: Number Line Quest

๐ŸŽฏ Drag each fraction to its correct position on the number line!

๐Ÿ“ Place these fractions on the number line: 1/4, 1/2, 3/4, 5/8
1/4
1/2
3/4
5/8
0
1/8
1/2
5/8
3/4
1
๐Ÿ’ก Hint: 1/4 = 0.25, 1/2 = 0.5, 5/8 = 0.625, 3/4 = 0.75
Challenge #4: Mixed Number Mystery

๐ŸŽฏ Convert the improper fraction to a mixed number!

๐Ÿ”„ What is 11/4 as a mixed number?
11/4 = ?
2 1/4
2 3/4
3 1/4
2 1/2
๐Ÿ’ก Hint: How many times does 4 go into 11? That's the whole number. The remainder is the numerator!
Challenge #5: Fraction Battle

๐ŸŽฏ Click on the BIGGER fraction!

โš”๏ธ Which fraction is BIGGER: 5/6 or 3/4?
5/6
3/4
๐Ÿ’ก Hint: 5/6 โ‰ˆ 0.833 and 3/4 = 0.75. Which decimal is bigger?
Challenge #6: Decimal Builder

๐ŸŽฏ What is 7 tenths + 5 hundredths + 3 thousandths as a decimal?

๐Ÿ—๏ธ Build the decimal number!
7 tenths + 5 hundredths + 3 thousandths = ?
0.753
0.573
7.53
0.357
๐Ÿ’ก Hint: Tenths = 0.X, Hundredths = 0.0X, Thousandths = 0.00X
Challenge #7: Pizza Party Math

๐ŸŽฏ Add the fractions! Enter numerator and denominator.

๐ŸŽ‰ You ate 3/8 of a pizza. Your friend ate 2/8. How much did you eat together?
3/8 + 2/8 = ?
๐Ÿ’ก Hint: When denominators are the same, just add the numerators! 3 + 2 = ?
Challenge #8: Decimal Race

๐ŸŽฏ Click the decimals in order from SMALLEST to LARGEST!

๐Ÿ Arrange: 0.6, 0.125, 0.75, 0.25, 0.5
Smallest
-
2nd
-
3rd
-
4th
-
Largest
-
0.6
0.125
0.75
0.25
0.5
๐Ÿ’ก Hint: Line up the decimal points and compare digit by digit!
Challenge #9: Fraction Converter

๐ŸŽฏ Convert the fraction to a decimal!

๐Ÿ’ฑ What is 3/5 as a decimal?
3/5 = ?
0.3
0.5
0.6
0.35
๐Ÿ’ก Hint: Divide the numerator by the denominator: 3 รท 5 = ?
Challenge #10: Equivalent Builder

๐ŸŽฏ Which fraction is NOT equivalent to 2/3?

๐Ÿงฉ Find the odd one out!
4/6
6/9
8/12
6/8
๐Ÿ’ก Hint: 2/3 = 4/6 = 6/9 = 8/12. Which one doesn't simplify to 2/3?
Challenge #11: Decimal Precision

๐ŸŽฏ Where does 0.625 belong on the number line?

๐ŸŽฏ Click the correct position for 0.625
Find: 0.625
0
0.25
0.5
0.625
0.75
1
๐Ÿ’ก Hint: 0.625 is between 0.5 (1/2) and 0.75 (3/4). Actually, it equals 5/8!
Challenge #12: Chocolate Mystery

๐ŸŽฏ Solve the subtraction problem!

๐Ÿ” A chocolate bar has 6 pieces. You had 5/6, then ate 2/6. What fraction is left?
5/6 - 2/6 = ?
๐Ÿ’ก Hint: Same denominators, so subtract numerators: 5 - 2 = ?
Challenge #13: Triple Connection

๐ŸŽฏ What percentage equals 3/4 and 0.75?

๐Ÿงฉ Complete the connection: 3/4 = 0.75 = ?
3/4 = 0.75 = ?%
34%
75%
50%
25%
๐Ÿ’ก Hint: To convert decimal to percentage, multiply by 100: 0.75 ร— 100 = ?
Challenge #14: Money Detective

๐ŸŽฏ Compare money amounts using fractions!

๐Ÿ’ฐ You have $0.75. Your friend has 4/5 of a dollar. Who has MORE money?
You: $0.75
Friend: 4/5
๐Ÿ’ก Hint: Convert both to decimals! 4/5 = 4 รท 5 = ?
Challenge #15: Ultimate Detective Challenge

๐ŸŽฏ Solve this multi-step problem to earn your detective badge!

๐Ÿ† A recipe needs 3/4 cup of sugar. You only have a 1/8 cup measure. How many scoops do you need?
Think: How many 1/8 cups fit into 3/4 cup?
Remember: 3/4 = 6/8
3 scoops
4 scoops
6 scoops
8 scoops
๐Ÿ’ก Hint: Convert 3/4 to eighths first! 3/4 = ?/8. Then divide by 1/8!

๐ŸŽ‰ DETECTIVE BADGE EARNED!

You scored 0 out of 15!

Outstanding work, Detective! You've mastered fractions and decimals! ๐Ÿ”