Equivalent Fractions
What fraction is equivalent to 3/4 with a denominator of 8?
6/8
What is 3/4 - 1/4?
1/2
What is 4 (3/4) - 2 (1/4)?
2 (1/2)
What is 1/3 + 1/3?
2/3
What is a mixed number?
A whole number and a fraction.
True or False: 4/6 and 6/8 are equivalent.
False.
What is 2/3 - 2/5?
4/15
What is 3 (1/2) - 1 (3/4)?
1 (3/4)
What is 1/2 + 1/4?
3/4
What is 2 (1/2) + 1 (1/2)?
4
What number could you multiply 5/6 by to get a denominator of 18? What will the numerator be when you do so?
What is 5/6 - 1/4?
7/12
3 (1/2)
What is 3/5 + 1/2? Hint: Answer may be a mixed number or an improper fraction.
11/10 or 1 (1/10)
What is 2 (2/3) + 3 (5/6)?
6 (1/2)
Explain how you know 7/9 and 14/18 are equivalent.
In the fraction 7/9, both the numerator and denominator are multiplied by 2 to get 14/18.
You drank 2/4 of a bottle of water. Later, you drank another 2/8. How much more water did you drink the first time than the second time?
1/4
A rope is 6 (1/2) feet long. 2 (3/4) of the rope is cut off. How much rope remains?
3 (3/4)
A recipe uses 2/3 cups of flour and 3/4 cups of sugar. How many cups are used in total?
1 (17/24) or 41/24
A runner jogs 1 (3/4) miles in the morning and 2 (2/3) miles at night. How far did the running jog in total?
4 (5/12) miles
Why must the numerator and denominator be multiplied by the same number when creating equivalent fractions?
Multiplying by the same number keeps the fraction representing the same part of the whole, keeping the ratio/proportion equivalent.
A student solves 5/8 - 1/4 = 4/4. Is the student correct? Why or why not?
No, the student subtracted denominators instead of finding a common denominator.
Use two different strategies to answer the following problem and explain why they give the same result: 4 (1/4) - 2 (5/6)
Answers will vary. Students may use number lines, picture models, regrouping, improper fractions, etc.
A student says 2/5 + 1/10 = 3/15. Is the student correct? Why?
No, the student added denominators instead of finding a common denominator to add.
What is 4 (5/6) + 3 (7/12)? Explain how you know you are correct.
8 (5/12)