Fraction Models and Diagrams
Show a rectangle divided into 4 equal parts and shade 3. What fraction is shaded?
What is ¾?
On a number line from 0 to 1, where would you place ½?
At the midpoint (halfway between 0 and 1)
What is an equivalent fraction for ½ with denominator 4?
What is 2⁄4?
Which is larger: ½ or ⅓? Explain using a visual drawing or reasoning.
½ is larger (draw two equal wholes; half is more than one third)
Which is greater: 2⁄5 or 3⁄5?
What is 3⁄5?
If you draw a circle and divide it into 6 equal slices and shade 2, what fraction is shaded?
What is 2⁄6?
Between which two whole numbers does 7⁄6 lie?
Between 1 and 2
Find an equivalent fraction for 3⁄5 with denominator 10.
What is 6⁄10?
Using the benchmark ½, is 3⁄8 less or more than ½?
Less than ½
Which is larger: 3⁄4 or 2⁄3?
3⁄4 is larger
Draw a number line that partitions into 8 parts and jump forward 5. What fraction is shaded?
(show correct number line)
What is 5⁄8?
On a 0–1 number line, where would you place 3⁄4?
(correctly draw number line)
Generate two equivalent fractions for 4⁄6 using denominators 12 and 24.
What are 8⁄12 and 16⁄24?
Using a visual model, decide whether 7⁄12 is closer to ½ or 1.
It’s closer to ½ (because ½ = 6/12, and 7/12 is just one twelfth above)
compare 5⁄8 and 3⁄4 using a visual model
3/4 is larger
Using a number line diagram, show 7⁄12.
(correctly draw a number line)
If you partition 0 to 1 into 12 equal segments, where is 5⁄12 located?
(draw number line to show- At the 5th tick from 0) (5/12 of the distance)
Give 2 equivalent fraction for 7⁄8 using multiplication.
(as long as the numerator and denominators are multiplied by the same number, then it is equivalent)
Is the fraction 11⁄20 closer to ½ or 1?
Closer to 1/2, (because 10/20 is half and 11/20 is only 1/20 away)
Order the following fractions from least to greatest:
3/8, 5/12, 1/2
3/8, 5/12, 1/2
Draw a diagram to show the equivalence of 3/4 and 9/12.
(draw a number line or fraction strip diagram that shows equivalence)
On a number line from 0 to 2, place 9⁄4. Also, name two fractions equivalent to 9⁄4.
At 2.25 (i.e. a little past 2); equivalents: 18⁄8, 27⁄12, etc.
Generate an equivalent fraction for 5⁄12 with denominator of 60.
What is 25/60?
Is the fraction 7/8 closer to ½ or 1?
1
Order the following fractions from greatest to least:
11/12, 7/10, 13/20, 4/5
11/20, 4/5, 13/20, 7/10