Add Fractions
What is:
1/4 + 2/4
3/4
What is:
7/8 − 3/8
1/2
Question:
Change 3 2/5 into an improper fraction.
17/5
Lena drank 2/5 of a bottle of water in the morning and 1/5 in the afternoon. How much did she drink altogether?
3/5 of the bottle
A student says:
2/5 + 1/5 = 3/10
Is the student correct? Explain.
Answer: No! The denominator stays 5 because the pieces are the same size. The answer is 3/5.
What is:
2/3 + 1/6
5/6
Question:
What is:
5/6 − 1/4
7/12
Change 19/4 into a mixed number.
4 3/4
A ribbon is 3/4 yard long. Maya uses 1/3 yard. How much ribbon is left?
5/12 yard
Which is greater?
3/4 + 1/8
or
2/3 + 1/6
3/4 + 1/8 = 7/8, while 2/3 + 1/6 = 5/6. So 7/8 is greater.
3/8 + 5/12
19/24
What is:
4 2/5 − 1 3/10
3 1/10
2 3/4 + 1 5/6
4 7/12
Noah walks 2 1/2 miles on Saturday and 1 3/4 miles on Sunday. How many miles does he walk altogether?
4 1/4
A student solves:
5 1/4 − 2 3/4 = 3 2/4
Find the mistake and give the correct answer.
Answer: The correct answer is 2 1/2. The student did not regroup before subtracting the fractions.
What is:
2 1/3 + 1 3/4
4 1/12
What is:
6 1/4 − 2 5/6
3 5/12
7 1/5 − 3 3/4
3 9/20
A recipe calls for 3 2/3 cups of flour. You already have 1 5/6 cups in the bowl. How many more cups do you need?
1 5/6
Estimate:
7/12 + 1/3 + 1/6
about what whole number?
Answer: About 1.
7/12 ≈ 1/2, 1/3 ≈ 1/3, and 1/6 ≈ 1/6. Together they are approximately 1.
What is:
3 5/8 + 2 7/12
6 5/24
What is:
8 1/3 − 3 7/8
4 11/24
Solve:
5 7/8 − 2 11/12
2 23/24
A hiking trail is 9 1/2 miles long. A group has already hiked 4 3/4 miles. They stop for a break and then hike another 2 2/3 miles.
How many miles do they still have left?
2 1/12
A student says:
“I had 6 1/2 pounds of clay. I used 2 3/4 pounds, so I have 4 1/4 pounds left.”
Do you agree? Prove your answer by solving the problem.
6 1/2 − 2 3/4
= 6 2/4 − 2 3/4
= 5 6/4 − 2 3/4
= 3 3/4 pounds
Correction: No, the student is NOT correct. The correct answer is 3 3/4 pounds.