Grade: Grade 3 Subject: Mathematics Unit: Fractions Introduction SAT: Algebra ACT: Math

Guided Practice: Fractions

Practice makes perfect! Work through these problems with step-by-step hints to build your fraction skills.

Progress: 0 of 12 problems completed

Part 1: Identifying Fractions from Pictures

📊 Remember:

Count the total parts (denominator) and the shaded parts (numerator).

Practice Problems

Problem 1: What fraction is shaded?

Step-by-Step Hint:
  1. Count ALL the parts: There are 4 equal parts.
  2. Count the SHADED parts: 3 parts are blue.
  3. Write: shaded/total = 3/4

Problem 2: What fraction is shaded?

Step-by-Step Hint:
  1. Count ALL the parts: There are 6 equal parts.
  2. Count the SHADED parts: Only 1 part is blue.
  3. Write: shaded/total = 1/6

Problem 3: What fraction is shaded?

Step-by-Step Hint:
  1. Count ALL the parts: There are 8 equal parts.
  2. Count the SHADED parts: 5 parts are blue.
  3. Write: shaded/total = 5/8

Part 2: Numerator and Denominator

🔢 Remember:

Numerator = top number (how many parts you have)
Denominator = bottom number (total equal parts)

Practice Problems

Problem 4: In the fraction 4/7, what is the numerator?

47
Step-by-Step Hint:

The numerator is always the TOP number. Look at what's above the line.

Problem 5: In the fraction 2/9, what is the denominator?

29
Step-by-Step Hint:

The denominator is always the BOTTOM number. Remember: Denominator is DOWN!

Problem 6: Which fraction has 5 as the numerator?

Step-by-Step Hint:

Look for the fraction with 5 on TOP (above the line).

Part 3: Comparing Fractions

<> Remember:

Same denominator: Compare numerators - bigger numerator = bigger fraction
Same numerator: Compare denominators - smaller denominator = bigger fraction

Practice Problems

Problem 7: Compare the fractions. Choose the correct symbol.

25 ? 45
Step-by-Step Hint:
  1. Check denominators: Both are 5 (same!)
  2. Compare numerators: 2 vs 4
  3. 2 is less than 4, so 2/5 is less than 4/5

Problem 8: Compare the fractions. Choose the correct symbol.

13 ? 16
Step-by-Step Hint:
  1. Check numerators: Both are 1 (same!)
  2. Compare denominators: 3 vs 6
  3. 3 is smaller, so 1/3 has BIGGER pieces
  4. 1/3 is greater than 1/6

Problem 9: Compare the fractions. Choose the correct symbol.

68 ? 38
Step-by-Step Hint:
  1. Check denominators: Both are 8 (same!)
  2. Compare numerators: 6 vs 3
  3. 6 is greater than 3, so 6/8 is greater than 3/8

Part 4: Writing Fractions from Words

📝 Remember:

Listen for two numbers: the number of parts you have (numerator) and the total parts (denominator).

Practice Problems

Problem 10: A pizza has 8 slices. Maria ate 3 slices. What fraction did Maria eat?

Step-by-Step Hint:
  1. Total slices (denominator): 8
  2. Slices Maria ate (numerator): 3
  3. Fraction = parts eaten / total parts = 3/8

Problem 11: A candy bar is divided into 6 equal pieces. Tom ate 4 pieces. What fraction did Tom eat?

Step-by-Step Hint:
  1. Total pieces (denominator): 6
  2. Pieces Tom ate (numerator): 4
  3. Fraction = pieces eaten / total pieces = 4/6

Problem 12: There are 10 students in a group. 7 students have brown eyes. What fraction of students have brown eyes?

Step-by-Step Hint:
  1. Total students (denominator): 10
  2. Students with brown eyes (numerator): 7
  3. Fraction = brown-eyed / total = 7/10

Great Work!

You practiced:
  • Identifying fractions from pictures
  • Finding numerators and denominators
  • Comparing fractions with the same numerator or denominator
  • Writing fractions from word problems
📊

Pictures

Count shaded and total parts.

🔢

Parts

Numerator on top, denominator on bottom.

<>

Compare

Same parts? Compare the other number!

📝

Words

Find "how many" and "out of how many."

Next Steps

  • Try the Word Problems lesson for more real-life fraction practice
  • Review Common Mistakes to avoid fraction errors
  • Take the Unit Quiz when you feel confident