What is the first step in adding $$3 \frac{1}{2} + 2 \frac{1}{4}$$ ?

Convert the mixed numbers to improper fractions: $$3 \frac{1}{2} = \frac{7}{2}$$ and $$2 \frac{1}{4} = \frac{9}{4}$$ .

What is $$\frac{7}{2} + \frac{9}{4}$$ ?

To add these fractions, find a common denominator: $$\frac{14}{4} + \frac{9}{4} = \frac{23}{4}$$ .

How do you convert $$\frac{23}{4}$$ back to a mixed number?

Divide 23 by 4. The quotient is 5 and the remainder is 3, so $$\frac{23}{4} = 5 \frac{3}{4}$$ .

What is the sum of $$6 \frac{1}{2} + 2 \frac{1}{3}$$ ?

Convert to improper fractions: $$6 \frac{1}{2} = \frac{13}{2}$$ and $$2 \frac{1}{3} = \frac{7}{3}$$ . Find a common denominator and add.

What is $$\frac{13}{2} + \frac{7}{3}$$ when using the common denominator?

Convert: $$\frac{39}{6} + \frac{14}{6} = \frac{53}{6}$$ .

Convert $$\frac{53}{6}$$ to a mixed number.

Divide 53 by 6. The quotient is 8 and the remainder is 5, so $$\frac{53}{6} = 8 \frac{5}{6}$$ .

What is the sum of $$4 \frac{3}{4} + 9 \frac{2}{5}$$ ?

Convert to improper fractions: $$4 \frac{3}{4} = \frac{19}{4}$$ and $$9 \frac{2}{5} = \frac{47}{5}$$ .

What is $$\frac{19}{4} + \frac{47}{5}$$ when using the common denominator?

Convert: $$\frac{95}{20} + \frac{188}{20} = \frac{283}{20}$$ .

Convert $$\frac{283}{20}$$ to a mixed number.

Divide 283 by 20. The quotient is 14 and the remainder is 3, so $$\frac{283}{20} = 14 \frac{3}{20}$$ .

What is the sum of $$2 \frac{7}{8} + 5 \frac{1}{2}$$ ?

Convert to improper fractions: $$2 \frac{7}{8} = \frac{23}{8}$$ and $$5 \frac{1}{2} = \frac{11}{2}$$ .

What is $$\frac{23}{8} + \frac{11}{2}$$ when using the common denominator?

Convert: $$\frac{23}{8} + \frac{44}{8} = \frac{67}{8}$$ .

Convert $$\frac{67}{8}$$ to a mixed number.

Divide 67 by 8. The quotient is 8 and the remainder is 3, so $$\frac{67}{8} = 8 \frac{3}{8}$$ .

Add Mixed Numbers Flashcards

Student preview

17 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Tags

CCSS.3.NF.A.3C

2.

FLASHCARD QUESTION

Front

How do you add mixed numbers?

Back

1. Add the whole numbers together. 2. Add the fractions together. 3. If the fraction sum is improper, convert it to a mixed number and add to the whole number.

Tags

CCSS.7.NS.A.1C

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

7.

FLASHCARD QUESTION

Front

Back

The common denominator is 6.

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