Comparing Fractions (<,>,=)
Which of the following fractions is the closest to the whole (which fraction is the largest)?
6/7
2/7
4/7
6/7 is the fraction closest to the whole. It is only 1/7th away from completing the whole and is the largest out of the three options.
Which of the following fractions are equal to 1 (whole). (There may be multiple correct answers)
2/3, 4/4, 6/5, 1/3, 7/7
The numerator and denominator are the same
4/4, 7/7
Is the following fraction a mixed number or an improper fraction? How do you know?
5/3
It is an improper fraction. The numerator is greater than the denominator, making it improper.
1/6 + 3/6 = ______
4/6
1/4 + 1/4 + 1/4 is the unit fraction addition sentence for what fraction? (What fraction is this the decomposition of?)
3/4
Compare the fractions 1/2 and 3/5 using the symbols <, >, or =.
1/2 < 3/5.
When looking at 3/5, we know it is greater than 1/2 because if you double the numerator, it is greater than the denominator.
Which of the following fractions are equivalent to 1/2? (There may be more than one answer)
2/3, 4/8, 5/9, 2/4, 7/14
When you double the numerator, it equals the denominator
4/8
2/4
7/14
Is the following fraction a mixed number or an improper fraction? How do you know?
3 4/5
It is a mixed number. We know this because the number 3 4/5 is a mixture between 3 wholes and 4/5 of a whole.
Find the answer to the following equation:
5/4 - 2/4 = ________
3/4
Decompose the following fraction into a unit fraction repeated addition sentence.
6/8
6/8=1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
Compare the fractions 6/8 and 7/8. Explain how you know.
6/8 < 7/8
Since the denominator is the same, you can just compare the numerators.
True or False: 3/4 is equivalent to 6/8. Explain your answer.
True. If you multiply 3/4 by 2/2, you get 6/8. Because the numerator and the denominator were multiplied by the same number, they are equivalent.
Change the improper fraction 5/3 into a mixed number. Show your work and thinking process.
1 2/3
Add the fractions 2/5 and 4/5 using a number line. You may leave your answer as an improper fraction.
*You must use a number line to get points for this question
6/5. Must be shown on number line for points.
Decompose the following fraction into a unit fraction repeated addition sentence. Then, rewrite it as a multiplication sentence. (you must do both of these to get points for this question)
6/12
6/12= 1/12 + 1/12 +1/12 + 1/12 + 1/12 +1/12
and
6/12= 6 x 1/12
Compare the fractions 3/4 and 4/5 by making the denominators the same. Then, use the symbols <, >, or = to compare the two fractions.
*You must use this strategy (making common denominators) to get points for this question.
3/4 times 5/5= 15/20
4/5 times 4/4= 16/20
So 3/4 < 4/5
Find 3 equivalent fractions for the following fraction:
2/3
Answers vary- some of the possible answers are:
4/6, 6/9, 8/12, 10/15, 12/18
Change the mixed number 1 3/4 into an improper fraction. Show your work and thinking process.
7/4
Find the answer to the following equation:
1 3/4 - 2/4 = ________
1 1/4
Using your knowledge of repeated addition and unit fractions, break down the following fraction into a multiplication sentence.
3/4
3/4= 3 x 1/4
Compare the fractions 2 3/4 and 13/4
13/4 in a mixed number is 3 1/4.
so 2 3/4 < 13/4
Which of the following fractions are equivalent to 6/8? There may be more than one answer.
2/3, 3/4, 5/6, 12/16, 13/15
3/4, 12/16
Change the improper fraction 17/8 into a mixed number. Show the process you went through to get your answer.
2 1/8
Find the answer to the following equation:
2 2/4 - 3/4 = ______
7/4
10/4 - 3/4 = 7/4
Using your knowledge of repeated addition and unit fractions, break down the following fraction into a multiplication sentence.
2 1/4
2 1/4 as an improper fraction is 9/4.
9/4= 9 x 1/4