Equivalent Fractions
Complete the equivalent fraction: 1/2 = ?/12
Is 5/10 less than, greater than, or equal to 1/2?
Han says that 1/2 of a large pizza is the same amount of food as 1/2 of a small pizza because the fractions are equal. Do you agree or disagree with Han?
Which fraction represents a value greater than a whole (1)?
4/5
4/7
5/4
5/4
If a rectangle is divided into 12 equal parts and 3 parts are shaded, what fraction of the rectangle is shaded?
3/12 or 1/4
Which of the following fractions is equivalent to 1/4?
2/11?
5/20?
4/1?
5/20
Is 1/3 greater than or less than 1/2?
Less than
Explain why 1/2 of a large pizza is NOT the same amount of food as 1/2 of a small pizza.
The wholes are different sizes; half of a larger whole is a larger amount than half of a smaller whole.
Convert 1/2 into two equivalent fractions: one with a denominator of 4, and one with a denominator of 10.
2/4 and 5/10
If you draw a fraction strip divided into 5 equal parts and shade 3 parts, is the shaded region greater than or less than half of the strip?
Greater than half
Which of the following fractions is equivalent to 3/12?
1/4?
2/7?
12/3?
1/4
Is 5/4 greater than or less than 1?
Greater than
True or False: If two fractions have the same numerator 1/3 and 1/4, the fraction with the larger denominator is the larger fraction.
False (a larger denominator means the whole is divided into smaller pieces)
Name a fraction that is equivalent to 1/4 AND has a denominator of 12
3/12
How would you draw a number line model to show that 1/2 is equivalent to 6/12?
Mark 1/2 right in the middle between 0 and 1, then divide the number line into 12 equal intervals to show that the 6th mark lands on the exact same point.
Write two different fractions that are equivalent to 4/6.
2/3, 8/12, etc.
Write ALL of the fractions that are greater than 1/2 but less than 1 from the list below
4/5, 1/3, 5/4, 4/7
4/5 and 4/7
What happens to the numerator and denominator of a fraction when you divide the parts of a shape into twice as many equal-sized pieces?
Both the numerator and the denominator are multiplied by 2.
How can you use a common benchmark like 1/2 to determine whether 3/5 or 4/9 is larger?
Compare both to 1/2. 3/5 is greater than 1/2 (since half of 5 is 2.5), and 4/9 is less than 1/2 (since half of 9 is 4.5). Therefore, 3/5 > 4/9.
You have a fraction strip representing 4/6. If you split each of the 6 equal parts in half, what new fraction is shown by the shaded area?
8/12
Priya says that 3/5 and 6/10 are not equivalent because there are twice as many parts in 6/10. Do you agree with Priya? Explain why or why not.
No. Even though 6/10 has twice as many parts, the parts are half as big, so they represent the exact same total size/amount.
Compare using >, < or =.
3/5 __ 7/12
3/5 > 7/12
3/5 x 12= 36/60
7/12 x 5 = 35/60
36/60 > 36/60
Give an example of a fraction that is equivalent to 1/2, but has a denominator greater than 20.
Any fraction where the denominator is an even number greater than 20 and the numerator is half of it (e.g., 12/24, 25/50, 50/100)
Select all of the following statements that are true:
3/12=1/4
5/4 < 1
4/6 = 2/3
3/5 < 7/12
3/12=1/4
4/6 = 2/3
Draw an model that proves 3/5 is equivalent to 6/10.
Start with a rectangle split vertically into 5 columns with 3 shaded (3/5). Draw one horizontal line across the middle to double the total number of boxes to 10 and the shaded boxes to 6 (6/10).