Subtracting Mixed Numbers

Subtracting Mixed Numbers with Unlike Denominators

Review and Practice!

Steps to solving a subtraction of mixed numbers with unlike denominators

• Check the denominators

• Find the LCM if different, and make equivalent fractions

• Check the numerators

• If you can subtract, yay! If you can't, borrow from the whole or change BOTH to improper fractions

• Subtract fractions

• Subtract whole numbers

• Simplify (little divide)

Multiple Select

How do you find common denominators?

• Find the GCF

• Find the LCM

• Make up a number

• Choose a number divisible by 100

Poll

What is the difference of 2/3 and 1/4?

• 5/12

• 2/12

• 3/4

• 2/7

Multiple Choice

What is 6  $$\frac{2}{3}$$  -  4  $$\frac{1}{4}$$  

• 2 $$\frac{1}{2}$$  

• 2  $$\frac{2}{3}$$  

• 2 $$\frac{3}{8}$$  

• 2  $$\frac{5}{12}$$  

Poll

What is 3-6?

• 3

• 0

• 9

• Can't do it

Poll

Can we subtract these mixed numbers properly?
5 $$\frac{7}{8}$$  - 1  $$\frac{3}{8}$$  

• Yes

• No

Multiple Select

What are the 2 strategies we have when the numerator from the top fraction is smaller than the bottom numerator? Choose all that apply.

• Change JUST the top to an improper fraction

• Change BOTH to an improper fraction

• Regroup from the whole number and add a whole to the original fraction in fraction form.

• Change from a mixed number to a simplified fraction

• Make an equivalent fraction for the bottom fraction only.

Multiple Choice

How do we change mixed numbers to improper fractions?

• Add the denominator and numerator, then multiply the whole number

• Add the whole number and numerator, then multiply the denominator

• Multiply the denominator and numerator, then add the whole number

• Multiply the denominator and whole number, then add the numerator.

Poll

Turn this mixed number into an improper fraction.

$$4\ \frac{2}{7}$$  

• $$\frac{24}{8}$$  

• $$\frac{28}{7}$$  

• $$\frac{30}{7}$$  

Multiple Choice

Subtract and find the answer in simplest form.

$$5\frac{2}{9}$$  - 2 $$\frac{2}{3}$$  

• 2 $$\frac{5}{9}$$  

• 3 $$\frac{0}{6}$$  

• 3 $$\frac{4}{9}$$  

Multiple Choice

$$4\ \frac{1}{8}-1\ \frac{5}{8}$$  
Find the difference in simplest form

• 2  $$\frac{3}{8}$$  

• 3

• 3  $$\frac{1}{2}$$  

• 2  $$\frac{1}{2}$$  

Multiple Choice

$$3-2\frac{1}{7}$$  

• 6/7

• 1  $$\frac{6}{7}$$  

• 5/7

• 5  $$\frac{6}{7}$$  

Multiple Choice

$$6\ \frac{1}{4\ }-2\ \frac{6}{8}$$  

 

• 3 $$\frac{1}{2}$$  

• 3  $$\frac{3}{4}$$  

• 4  $$\frac{1}{2}$$  

• 4  $$\frac{1}{4}$$  

Multiple Choice

Solve this equation:

$$4\ \frac{5}{6\ }-2\ \frac{1}{3}$$  

• 2  $$\frac{1}{2}$$  

• 2  $$\frac{1}{3}$$  

• 1  $$\frac{5}{6}$$  

Multiple Choice

Solve. Find the difference in simplest form.
$$6\ \frac{2}{4}-\ 2\ \frac{2}{5}$$  

• 5  $$\frac{2}{7}$$  

• 4  $$\frac{2}{20}$$  

• 6  $$\frac{1}{2}$$  

• 4  $$\frac{1}{10}$$  

Multiple Choice

Find the difference in simplest form.
$$8\ \frac{5}{7}-\ 7\ \frac{2}{3}$$  

 

• 1  $$\frac{3}{4}$$  

• 1  $$\frac{1}{21}$$  

• 1   $$\frac{1}{24}$$  

• 1   $$\frac{3}{24}$$