What is Understanding Fractions?

Learn what fractions represent and how to compare them

How can I study Understanding 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 Understanding Fractions study guide free?

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

What course covers Understanding Fractions?

Understanding 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 Understanding 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.

Understanding Fractions

What is a Fraction?

A fraction represents a part of a whole. It has two parts:

❓ Question:

Convert the improper fraction $\frac{11}{4}$ to a mixed number.

Solution:

Divide the numerator by the denominator: $11 \div 4 = 2 \text{ remainder } 3$

This means:

Whole number: 2
Numerator of fraction: 3 (remainder)
Denominator stays: 4

Answer: $\frac{11}{4} = 2\frac{3}{4}$

❓ Question:

Convert the improper fraction $\frac{11}{4}$ to a mixed number.

Solution:

Divide the numerator by the denominator:

❓ Question:

Which is greater: $\frac{5}{6}$ or $\frac{7}{9}$ ?

❓ Question:

Which is greater: $\frac{5}{6}$ or $\frac{7}{9}$ ?

❓ Question:

Order from least to greatest: $\frac{2}{3}$ , $\frac{5}{8}$ ,

❓ Question:

Order from least to greatest: $\frac{2}{3}$ , $\frac{5}{8}$ ,

Solution:

Find a common denominator (LCM of 6 and 9 is 18):

$\frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18}$

$\frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18}$

Compare: $\frac{15}{18} > \frac{14}{18}$

Answer: $\frac{5}{6}$ is greater

Solution:

Find a common denominator (LCM of 6 and 9 is 18):

$\frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18}$

$\frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18}$

Compare: $\frac{15}{18} > \frac{14}{18}$

Answer: $\frac{5}{6}$ is greater

Solution:

Find a common denominator (LCM of 3, 8, and 4 is 24):

$\frac{2}{3} = \frac{16}{24}$

$\frac{5}{8} = \frac{15}{24}$

$\frac{3}{4} = \frac{18}{24}$

Order: $\frac{15}{24} < \frac{16}{24} < \frac{18}{24}$

Answer: $\frac{5}{8}, \frac{2}{3}, \frac{3}{4}$

Solution:

Find a common denominator (LCM of 3, 8, and 4 is 24):

$\frac{2}{3} = \frac{16}{24}$

$\frac{5}{8} = \frac{15}{24}$

$\frac{3}{4} = \frac{18}{24}$

Order: $\frac{15}{24} < \frac{16}{24} < \frac{18}{24}$

Answer: $\frac{5}{8}, \frac{2}{3}, \frac{3}{4}$

Understanding Fractions

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Understanding Fractions

What is a Fraction?

Types of Fractions

Proper Fraction

Improper Fraction

Mixed Number

Comparing Fractions

Same Denominator

Different Denominators

Equivalent Fractions

📚 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

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📌 Related Topics in Fractions and Decimals

❓ Frequently Asked Questions