Equivalent Expressions
What is 1/5 + 1/5 + 1/5 written as a single fraction?
3/5
Is 3/4 + 2/4 greater than 1 whole?
Yes, it equals 5/4, which is more than a whole.
Solve: 4/7 + 2/7 + 1/7
7/7 or 1 whole
A recipe calls for 3 cups of flour. Mia has 4 packets that each hold 1/3 cup. How many total cups of flour does she have?
4/3 cups or 1 and 1/3 cups
If a line plot shows the heights of plants, what does each "X" on the plot count?
One plant
If you have 1 whole pizza and eat 2/5 of it, what fraction of the pizza is left?
3/5, because 5/5- 2/5= 3/5.
Is 4 × 1/5 greater than 1 whole?
No, it equals 4/5, which is just under 1 whole.
Solve: 3 × 2/9.
6/9 or 2/3
Based on the last question, does Mia have enough flour to make her 3-cup recipe?
No, because 1 and 1/3 cups is less than 3 cups.
If a line plot has tick marks at 1, 1 1/4, 1 2/4, and 1 3/4, what size fractional intervals is it split into?
Fourths or 1/4
Name a fraction that is equivalent to 6/8 but has a smaller denominator.
3/4
If you take 1 and 1/6 and subtract 1/6, is your answer greater than 1?
No, it is exactly equal to 1.
1 1/6 − 1/6 = 1
Solve: 1 and 3/5 − 4/5.
4/5
Think of 1 and 3/5 as 8/5; 8/5 − 4/5 = 4/5
Jacob's song is 4 minutes long. Sarah's song is 3 and 1/2 minutes long. How long does it take to listen to both?
7 and 1/2 minutes
If there are three "X"s over the 1 and 2/4 mark, how many students grew exactly 1 and 2/4 inches?
3 students
Does 4 × 1/8 equal the same amount as 2/8 + 2/8?
Yes, both equal 4/8.
Is 7 × 1/10 greater than or less than 1 whole?
Less than 1, because it equals 7/10.
Solve: 5 − 3/10.
4 and 7/10
Take 1 whole from the 5 and turn it into 10/10, then subtract.
How much longer is Jacob’s song, 4 minutes, than Sarah’s song, 3 and 1/2 minutes?
1/2 of a minute or 30 seconds
How do you find the difference between the greatest amount of growth and the least amount of growth on a line plot?
Take the largest fraction number with an X and subtract the smallest fraction number with an X.
Which fraction is equivalent to 6/8: is it 12/16 or 8/6?
12/16, because 8/6 is an improper fraction greater than 1.
Look at 1/2 + 1/2 + 1/4. Without adding, how do you know this is greater than 1?
Because 1/2 + 1/2 equals exactly 1 whole, so adding any extra fraction makes it greater than 1.
Solve: 2 and 1/4 + 1 and 3/4.
4 wholes
2 + 1 = 3, and 1/4 + 3/4 = 1 whole. 3 + 1 = 4.
Tom eats 2/8 of a box of cereal on Monday and 3/8 on Tuesday. What fraction of the box is left for Wednesday?
3/8 of the box. He ate 5/8 total, so 8/8 − 5/8 = 3/8 left.
If 3 students each grew exactly 2/4 of an inch, how many total inches did they grow altogether?
6/4 inches or 1 and 2/4 inches, which simplifies to 1 and 1/2 inches.