Adding and Subtracting Mixed Numbers
Practice combining whole numbers and fractions
Adding and Subtracting Mixed Numbers
Practice combining whole numbers and fractions
Math - Grade 4-5
- 1
Find the sum: 2 1/4 + 1 2/4.
The sum is 3 3/4 because 2 + 1 = 3 and 1/4 + 2/4 = 3/4. - 2
Find the difference: 4 5/6 - 2 1/6.
Subtract the whole numbers and then subtract the fractions because the denominators are the same.
The difference is 2 4/6, which simplifies to 2 2/3. - 3
Add: 3 1/2 + 2 1/4.
Change 1/2 to fourths before adding the fractions.
The sum is 5 3/4 because 1/2 equals 2/4, and 2/4 + 1/4 = 3/4. - 4
Subtract: 5 3/4 - 1 1/2.
The difference is 4 1/4 because 1 1/2 equals 1 2/4, and 5 3/4 - 1 2/4 = 4 1/4. - 5
Find the sum: 1 2/3 + 2 5/6.
Use sixths as the common denominator.
The sum is 4 1/2 because 2/3 equals 4/6, so 1 4/6 + 2 5/6 = 3 9/6, which is 4 1/2. - 6
Find the difference: 6 1/5 - 3 4/5.
You need to regroup because 1/5 is smaller than 4/5.
The difference is 2 2/5. Regroup 6 1/5 as 5 6/5, then subtract 3 4/5. - 7
A hiking trail is 2 3/8 miles long. A second trail is 1 5/8 miles long. How many miles long are the two trails altogether?
The two trails are 4 miles long altogether because 2 3/8 + 1 5/8 = 3 8/8, which equals 4. - 8
Mia has 3 1/2 cups of flour. She uses 1 3/4 cups. How much flour does she have left?
Change 1/2 to 2/4, then regroup before subtracting.
Mia has 1 3/4 cups of flour left because 3 1/2 equals 3 2/4, and 3 2/4 - 1 3/4 = 1 3/4 after regrouping. - 9
Which is greater: 2 1/3 + 1 2/3 or 3 1/4 + 1/4? Show your work.
The first sum is greater. 2 1/3 + 1 2/3 = 4, while 3 1/4 + 1/4 = 3 2/4, or 3 1/2. - 10
Subtract: 7 - 2 3/5.
Rewrite the whole number 7 as 6 5/5.
The difference is 4 2/5. Regroup 7 as 6 5/5, then subtract 2 3/5. - 11
Add: 2 2/3 + 4 1/6.
The sum is 6 5/6 because 2/3 equals 4/6, and 4/6 + 1/6 = 5/6. - 12
Subtract: 8 1/4 - 3 5/8.
Use eighths as the common denominator and regroup before subtracting.
The difference is 4 5/8. Change 1/4 to 2/8, regroup 8 2/8 as 7 10/8, then subtract 3 5/8. - 13
Use a number line to add: 1 1/6 + 2 2/3.
The sum is 3 5/6 because 2 2/3 equals 2 4/6, and 1 1/6 + 2 4/6 = 3 5/6. - 14
A student says that 4 1/3 + 2 1/3 = 6 2/6. Explain the mistake and give the correct answer.
When adding fractions with the same denominator, add only the numerators.
The mistake is adding the denominators. The denominators should stay the same because both fractions are thirds. The correct answer is 6 2/3. - 15
Write a story problem that can be solved with 5 1/2 - 2 3/4. Then solve it.
One possible story problem is: I had 5 1/2 yards of ribbon and used 2 3/4 yards. I have 2 3/4 yards left because 5 1/2 - 2 3/4 = 2 3/4.