Multiply and Divide Fractions and Decimals Review

Multiply and Divide Fractions and Decimals Review

​Multiplying Decimals

• ​No need to line up your decimals.

• ​Multiply like you would whole numbers.

• ​Count the total number of decimal places.

• ​Place decimal in the answer that many decimal places.

​Examples

​Dividing Decimals

• ​Move the decimal from the front number to become a whole number

• ​Move the decimal for the inside number the same amount of places

• ​Place the decimal above where it is

• ​Divide as usual

​Examples

Multiple Choice

What is $$\frac{36}{5}$$  as a mixed number?

• $$8\ \frac{4}{5}$$  

• $$7\ \frac{1}{5}$$  

• $$\frac{7}{35}$$  

• $$6\ \frac{3}{5}$$  

Multiple Choice

What is  $$1\ \frac{2}{3}$$  as an improper fraction?

• $$\frac{12}{3}$$  

• $$\frac{13}{2}$$  

• $$\frac{6}{3}$$  

• $$\frac{5}{3}$$  

​Multiplying Fractions

• ​Turn an mixed numbers into an improper fraction.

• ​Multiply your numerators together.

• ​Multiply your denominators together.

• ​Simiply your answer if possible.

Multiple Choice

$$\frac{4}{5}\times\frac{2}{3}=$$  

• $$\frac{6}{8}$$  

• $$\frac{10}{12}$$  

• $$\frac{8}{15}$$  

• $$\frac{3}{5}$$  

Multiple Choice

$$2\ \frac{1}{2}\times3=$$  

• $$2\ \frac{1}{2}$$  

• $$6\ \frac{1}{2}$$  

• $$5\ \frac{1}{2}$$  

• $$7\ \frac{1}{2}$$  

​Dividing Fractions

• ​Keep the first fraction.

• ​Change the division to multiplication.

• ​Flip the numerator and denominator of the second fraction.

Multiple Choice

$$\frac{7}{12}\div\frac{1}{2}=$$  

• $$\frac{7}{24}$$  

• $$1\ \frac{1}{6}$$  

• $$\frac{9}{6}$$  

• $$2\ \frac{1}{3}$$  

Multiple Choice

What is the first thing you should do before solving this equation?

$$5\ \frac{1}{4}\div2\ \frac{1}{7}=$$  

• keep, change, flip

• change the mixed numbers to improper fractions

• divide the whole numbers

• find a common denominator

Multiple Choice

$$2\ \frac{1}{6}\div1\ \frac{6}{7\ }=$$  

Don't forget to simplify.

• $$1\ \frac{1}{6}$$  

• $$1\ \frac{1}{3}$$  

• $$1\ \frac{6}{7}$$  

• $$\frac{169}{42}$$