To figure out which fraction is greater in each pair, we look at the models and the numbers.
Rule to remember: When the top number (numerator) is the same, the fraction with the
smaller bottom number (denominator) is actually the
greater amount. This is because the whole is cut into fewer pieces, so each piece is bigger.
Let's look at each pair:
1. Compare 2/5 and 2/10
* Both have a numerator of 2.
* The denominators are 5 and 10.
* Since 5 is smaller than 10, the pieces in fifths are larger than the pieces in tenths.
* Looking at the bars, the purple bar for 2/5 covers more space than the pink bar for 2/10.
*
Greater fraction: 2/5
2. Compare 3/6 and 3/4
* Both have a numerator of 3.
* The denominators are 6 and 4.
* Since 4 is smaller than 6, the pieces in fourths are larger.
* Looking at the bars, the yellow bar for 3/4 covers much more space (almost the whole thing) compared to the orange bar for 3/6 (which is only half).
*
Greater fraction: 3/4
3. Compare 1/3 and 1/6
* Both have a numerator of 1.
* The denominators are 3 and 6.
* Since 3 is smaller than 6, the pieces in thirds are larger.
* Looking at the bars, the dark green block for 1/3 is clearly wider than the dark green block for 1/6.
*
Greater fraction: 1/3
Final Answer:
The greater fractions to check are:
*
2/5
*
3/4
*
1/3
Parent Tip: Review the logic above to help your child master the concept of worksheet numerator and denominator.
