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- Watch
- - Try This
  - Using "Greater Than" and "Less Than" Symbols
  - Fractions with Like Denominators
  - Fractions with Like Numerators
  - Alternative Format
- Review
- - Question 1
  - Question 2
  - Question 3
  - Question 4
- Practise
- - Exercises
  - Answers and Solutions
- Question Descriptions

Example 5

Use $\gt$, $\lt$, or $=$ to compare $ \dfrac{3}{8} $ and $ \dfrac{3}{4} $.

$Two pizzas with the fraction 3 over 8 beside the first pizza, and 3 over 4 beside the second pizza.$

$\Large \dfrac{3}{8} \lt \dfrac{3}{4} $

Example 6

Use $\gt$, $\lt$, or $=$ to compare $ \dfrac{7}{13} $ and $ \dfrac{7}{9} $.

$\dfrac{\class{timed add12-hl2 remove13-hl2}{7}}{\class{timed add13-hl2 remove18-hl2}{ 13}}$

$\lt$

$\dfrac{\class{timed add12-hl2 remove13-hl2}{7}}{\class{timed add13-hl2 remove18-hl2}{ 9}}$

$Two pizzas with the fraction 7 over 13 beside the first pizza, and 7 over 9 beside the second pizza.$

Recall the Try This problem where we compared three small squares to three large squares:

Check Your Understanding 3

Enter '$\gt$', '$\lt$', or '$=$' between the pair of numbers.

$ \dfrac{(n)*1.0}{(d)*1.0} $ $ \dfrac{(n)*2.0}{(d)*2.0} $

Feedback:

((((((((f)*(e))*(e))*(d))*(b))*(a))*(c))*(k))*1.0

((((((((f)*(e))*(e))*(d))*(b))*(a))*(c))*(k))*2.0

((((((((f)*(e))*(e))*(d))*(b))*(a))*(c))*(k))*3.0

Example 7

Three students are competing in a race. After $ 10 $ minutes, Anne has finished $ \dfrac{3}{8} $ of the race, Blair has completed $ \dfrac{3}{7} $ of the race, and Cooper is $ \dfrac{5}{7} $ of the way through the race.

If all students maintain their current standing, who will come in first, second, and third place?

Solution