Adding and Subtracting Mixed Numbers

Adding and Subtracting mixed numbers with like denominators

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When adding and subtracting fractions with the same denominator. . .

• Add or subtract the numerators

• Denominator STAYS THE SAME

Multiple Choice

$$\frac{1}{4}$$  +  $$\frac{2}{4}$$  =

• $$\frac{3}{4}$$  

• $$\frac{3}{8}$$  

Multiple Choice

$$\frac{6}{7}$$  -  $$\frac{1}{7}$$  =

• $$\frac{5}{14}$$  

• $$\frac{5}{7}$$  

• $$\frac{5}{0}$$  

When adding mixed numbers,

• Start with the fraction!

• Add the fraction first

• Then add or subtract the whole numbers

• Then simplify the fraction IF it is an improper fraction

Multiple Choice

$$3\ \frac{1}{5}+2\ \frac{2}{5}=$$  

• $$5\ \frac{3}{5}$$  

• $$5\ \frac{3}{10}$$  

Multiple Choice

$$2\ \frac{1}{4}+\ 2\ \frac{2}{4}=$$  

• $$4\ \frac{3}{4}$$  

• $$4\ \frac{2}{4}$$  

• $$4\ \frac{3}{8}$$  

If you have an improper fraction in your answer. . .

You have to add the wholes to the whole number!!

Multiple Choice

$$2\ \frac{1}{2}+\ 3\ \frac{1}{2}\ =$$  

• 5

• 6

• $$5\ \frac{2}{2}$$  

Subtracting mixed numbers can be trickier if you have to regroup!!

• Just remember that 1 whole is any fraction with the same numerator and denominator!!

Multiple Choice

$$1\ -\ \frac{1}{4}=$$  

• $$\frac{3}{4}$$  

• $$\frac{1}{4}$$  

To do that, you have to REGROUP the whole.

Multiple Choice

$$2\ \frac{2}{6}-1\ \frac{4}{6}=$$  

• $$1\ \frac{2}{6}$$  

• $$\frac{4}{6}$$  

• $$1\ \frac{4}{6}$$  

Multiple Choice

$$3\ \frac{1}{3}-1\ \frac{2}{3}=$$  

• $$2\ \frac{1}{3}$$  

• $$2\ \frac{2}{3}$$  

• $$1\ \frac{2}{3}$$