4th Grade Adding and Subtracting Fractions and Mixed Numbers Worksheets with Answers (Free PDF)

$4th grade adding fractions worksheet – Maths PDF$

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This 4th grade adding fractions worksheet covers adding and subtracting fractions and mixed numbers (Common Core 4.NF.B.3a, 4.NF.B.3b, 4.NF.B.3c, 4.NF.B.3d), with a free PDF to print.

Key takeaway: This worksheet helps fourth grade students practice adding and subtracting fractions and mixed numbers with like denominators.

Topic: Adding and Subtracting Fractions and Mixed Numbers (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.NF.B.3a, 4.NF.B.3b, 4.NF.B.3c, 4.NF.B.3d
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice adding and subtracting fractions and mixed numbers with like denominators. Students use strips, number sentences, and real situations, so they see that fraction work is careful counting of equal parts.

There are 20 problems. The first group uses eighths, tenths, and twelfths, the next group splits fractions into sums and converts between mixed numbers and improper fractions, and the middle group adds and subtracts mixed numbers, sometimes with regrouping. Also, the last six are word problems about runs, pizza, boards, flour, and ribbon. Then, allow about 30 minutes.

This worksheet has 20 problems on adding and subtracting fractions with like denominators. Problems cover decomposing fractions, mixed numbers, improper fractions and word problems with tape diagrams (Common Core 4.NF.B.3).

Grade 4 · Common Core State Standards: 4.NF.B.3a, 4.NF.B.3b, 4.NF.B.3c, 4.NF.B.3d

4th grade adding fractions worksheet: worksheet problems 1 to 10

1 – Add eighths

First, add. Use the strip to help.

A strip cut into eighths.

$\frac{2}{8} + \frac{3}{8}$

2 – Add tenths

Next, add: $\frac{4}{10} + \frac{5}{10}$.

3 – Subtract twelfths

Then, subtract: $\frac{7}{12} – \frac{2}{12}$.

4 – Missing numerator

Now, find the missing number: $\frac{?}{12} + \frac{5}{12} = \frac{11}{12}$.

5 – Unit fractions

Also, write $\frac{3}{4}$ as a sum of unit fractions.

6 – Decompose five sixths

First, write $\frac{5}{6}$ as a sum of two fractions in two different ways.

7 – Sum greater than 1

Next, add: $\frac{5}{8} + \frac{6}{8}$. Write the answer as a mixed number.

8 – Mixed number to fraction

Then, write $2\frac{1}{3}$ as an improper fraction.

2 wholes and 1 third.

9 – Fraction to mixed number

Now, write $\frac{11}{4}$ as a mixed number.

10 – Add mixed numbers

Also, add: $3\frac{1}{10} + 2\frac{6}{10}$.

Worksheet problems 11 and up

11 – Regroup after adding

First, add: $3\frac{5}{6} + 1\frac{4}{6}$.

12 – Subtract mixed numbers

Next, subtract: $4\frac{7}{8} – 2\frac{3}{8}$.

13 – Subtract with regrouping

Then, subtract: $7\frac{2}{6} – 3\frac{5}{6}$.

14 – Whole minus mixed

Now, subtract: $6 – 2\frac{3}{5}$.

15 – Weekend runs

Maya ran $\frac{3}{8}$ mile on Saturday and $\frac{4}{8}$ mile on Sunday. How far did she run in all?

A tape diagram of the two runs.

16 – Pizza left

First, the Rivera family ordered a pizza cut into 12 equal slices. They ate $\frac{5}{12}$ of the pizza. How much is left?

A pizza as a strip.

17 – Two boards

Jamal has a board $2\frac{3}{10}$ feet long and another board $1\frac{8}{10}$ feet long. How long are the boards together?

18 – Flour left

Priya has $4\frac{1}{3}$ cups of flour. She uses $1\frac{2}{3}$ cups for muffins. How much flour is left?

A tape diagram of the flour.

19 – Ethan's walk

Ethan walks $1\frac{1}{4}$ miles to the park, $2\frac{2}{4}$ miles to the library and $1\frac{3}{4}$ miles home. How far does he walk in all?

Worksheet problem 20 and after

20 – Ribbon

Sofia has 5 yards of ribbon. She uses $1\frac{3}{8}$ yards for one gift and $2\frac{4}{8}$ yards for another. How much ribbon is left?

A tape diagram of the ribbon.

Key facts behind this 4th grade adding fractions worksheet

Key facts

With like denominators, add or subtract the numerators and keep the denominator.
Next, a fraction can be decomposed in more than one way, such as 5/6 = 2/6 + 3/6.
A mixed number such as 2 1/4 equals the improper fraction 9/4.
Then, to add mixed numbers, add the wholes and the fractions, then regroup when the fraction is greater than 1.
To subtract mixed numbers, change them to improper fractions first.

Common mistakes with this 4th grade adding fractions worksheet

Students add the denominators as well as the numerators. For one seventh plus two sevenths, the pieces stay sevenths, so keep the denominator and add only the tops.
Students leave a fraction part greater than one whole. Instead, if a sum shows 2 and 9 fifths, regroup it as 3 and 4 fifths before you write the answer.
Students subtract the smaller fraction from the larger one to avoid regrouping. Also, keep the top number on top, and borrow one whole as a fraction when needed.
Students use only one piece in a story with two. Instead, when two items use ribbon, add both lengths before you subtract from the total.

Tips before you start the worksheet problems

Do the early problems quickly, then slow down for the mixed numbers. Finally, that is where most students need to check their work.
Write a mixed number in two forms before choosing which one is easier. Also, sometimes the improper fraction makes subtraction simpler.
Teachers can use the splitting problems as a discussion starter. Then, several correct answers exist, and students can compare them.

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4th grade adding fractions worksheet: frequently asked questions

How do you write a fraction as a sum of unit fractions?

Write the unit fraction once for each piece in the numerator. Also, for two fifths, write one fifth plus one fifth. So, this shows that the numerator counts how many equal pieces you have, and the denominator names their size.

When should you convert mixed numbers to improper fractions?

Convert when subtraction needs regrouping, because improper fractions avoid borrowing. For 5 and 1 fourth minus 2 and 3 fourths, write 21 fourths minus 11 fourths, which is 10 fourths. Adding is often easier with the mixed numbers.

How can you tell whether a fraction answer is reasonable?

Compare it with a benchmark such as one half or one whole. If you add one third mile and one third mile, the total should be a little more than one half mile. A total larger than one mile would signal a mistake.

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