Comparing Mixed Numbers and Improper Fractions

Converting Mixed Numbers and Improper Fractions

Multiple Choice

What is a mixed number?

• A fraction less than 1 whole

• A fraction greater than or equal to 1 whole

• A whole number combined with a fraction

Multiple Choice

What is an improper fraction?

• A fraction less than 1 whole

• A fraction greater than or equal to 1 whole

• A whole number combined with a fraction

We can convert between mixed numbers and improper fractions.

 3¼= 13/4

1. Count and write the number of wholes shaded.

2. Write the fraction that is shaded.

 3 wholes + ¼ = 3¼

Mixed Numbers

1. Count the total number of shaded parts and write it in the numerator.

2. Count the numbers of parts in 1 whole and write it in the denominator.

 4/4 + 4/4 + 4/4 + 1/4
= 13/4

Improper Fractions

Multiple Choice

Which mixed number represents this model?

• $$3\frac{2}{3}$$

• $$3\frac{1}{3}$$

• $$4\frac{1}{3}$$

• $$3\frac{1}{12}$$

Multiple Choice

Which improper fraction represents this model?

• $$\frac{10}{12}$$

• $$\frac{1}{3}$$

• $$\frac{9}{3}$$

• $$\frac{10}{3}$$

Multiple Choice

Which mixed number AND improper fraction represents this model?

• $$2\frac{4}{24}=\frac{16}{24}$$

• $$2\frac{4}{6}=\frac{16}{24}$$

• $$2\frac{4}{6}=\frac{16}{6}$$

• $$2\frac{4}{5}=\frac{14}{5}$$

Converting Mixed Numbers to Improper Fractions

1.

Multiply the whole number by the denominator.

2.

Add the numerator.

Multiple Choice

Which improper fraction is equivalent to this mixed number? $$2\ \frac{5}{8}$$

• $$\frac{21}{8}$$

• $$\frac{16}{8}$$

• $$\frac{10}{8}$$

• $$\frac{18}{8}$$

Multiple Choice

Which improper fraction is equivalent to this mixed number? $$6\ \frac{2}{3}$$

• $$\frac{14}{3}$$

• $$\frac{12}{3}$$

• $$\frac{20}{3}$$

• $$\frac{18}{3}$$

Converting Improper Fractions to Mixed Numbers

1.

Divide the numerator by the denominator.

2.

The quotient (number of times it fits) is the whole number.

3.

The remainder is the numerator. The denominator stays

the same.

Multiple Choice

When converting between mixed numbers and improper fractions, the denominator...

• gets bigger

• gets smaller

• stays the same

Multiple Choice

Which mixed number is equivalent to this improper fraction? $$\frac{12}{5}$$

• $$\frac{60}{5}$$

• $$1\frac{1}{5}$$

• $$2\frac{2}{12}$$

• $$2\frac{2}{5}$$

Multiple Choice

Which mixed number is equivalent to this improper fraction? $$\frac{23}{4}$$

• $$4\frac{5}{4}$$

• $$5\frac{3}{4}$$

• $$6\frac{1}{4}$$

• $$5\frac{3}{23}$$

Multiple Choice

Which mixed number is equivalent to this improper fraction? $$\frac{35}{7}$$

• $$5\ wholes\ or\ 5\frac{0}{7}$$

• $$7\frac{0}{5}$$

• $$5\frac{1}{7}$$

• $$5\frac{0}{35}$$