What is Adding and Subtracting Fractions?

Learn to add and subtract fractions with same and different denominators

How can I study Adding and Subtracting Fractions effectively?

Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 6 problems provided, checking solutions as you go. Regular review and active practice are key to retention.

Is this Adding and Subtracting Fractions study guide free?

Yes — all study notes, flashcards, and practice problems for Adding and Subtracting Fractions on Study Mondo are free to access. No account is needed.

What course covers Adding and Subtracting Fractions?

Adding and Subtracting Fractions is part of the Grade 6 Math course on Study Mondo, specifically in the Fractions and Decimals section. You can explore the full course for more related topics and practice resources.

Are there practice problems for Adding and Subtracting Fractions?

Yes, this page includes 6 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.

Adding and Subtracting Fractions

Same Denominator

When fractions have the same denominator, simply add or subtract the numerators:

❓ Question:

Calculate: $\frac{3}{8} + \frac{2}{8}$

Solution:

Same denominator - add the numerators: $\frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8}$

❓ Question:

Calculate: $\frac{3}{8} + \frac{2}{8}$

❓ Question:

Calculate: $\frac{2}{3} + \frac{1}{4}$

❓ Question:

Calculate: $\frac{2}{3} + \frac{1}{4}$

❓ Question:

Sarah ran $2\frac{3}{4}$ miles on Monday and $1\frac{5}{6}$ miles on Tuesday. How many total miles did she run?

❓ Question:

Sarah ran $2\frac{3}{4}$ miles on Monday and $1\frac{5}{6}$ miles on Tuesday. How many total miles did she run?

Solution:

Same denominator - add the numerators: $\frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8}$

Answer: $\frac{5}{8}$

Solution:

Find common denominator (LCM of 3 and 4 is 12):

$\frac{2}{3} = \frac{8}{12}$

$\frac{1}{4} = \frac{3}{12}$

Add: $\frac{8}{12} + \frac{3}{12} = \frac{11}{12}$

Answer: $\frac{11}{12}$

Solution:

Find common denominator (LCM of 3 and 4 is 12):

$\frac{2}{3} = \frac{8}{12}$

$\frac{1}{4} = \frac{3}{12}$

Add: $\frac{8}{12} + \frac{3}{12} = \frac{11}{12}$

Answer: $\frac{11}{12}$

Solution:

Convert to improper fractions: $2\frac{3}{4} = \frac{11}{4}, \quad 1\frac{5}{6} = \frac{11}{6}$

Find common denominator (LCM of 4 and 6 is 12): $\frac{11}{4} = \frac{33}{12}, \quad \frac{11}{6} = \frac{22}{12}$

Add: $\frac{33}{12} + \frac{22}{12} = \frac{55}{12} = 4\frac{7}{12}$

Answer: $4\frac{7}{12}$ miles

Solution:

Convert to improper fractions: $2\frac{3}{4} = \frac{11}{4}, \quad 1\frac{5}{6} = \frac{11}{6}$

Find common denominator (LCM of 4 and 6 is 12): $\frac{11}{4} = \frac{33}{12}, \quad \frac{11}{6} = \frac{22}{12}$

Add: $\frac{33}{12} + \frac{22}{12} = \frac{55}{12} = 4\frac{7}{12}$

Answer: $4\frac{7}{12}$ miles

Adding and Subtracting Fractions

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Adding and Subtracting Fractions

Same Denominator

Different Denominators

Steps:

Mixed Numbers

📚 Practice Problems

1Problem 1easy

❓ Question:

2Problem 2easy

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3Problem 3medium

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4Problem 4medium

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5Problem 5hard

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6Problem 6hard

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Practice Lab

Practice with Flashcards

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📌 Related Topics in Fractions and Decimals

❓ Frequently Asked Questions