Operations with Fractions

​Operations with Fractions

​Review

​Adding, Subtracting, Multiplying, Dividing

​Types of Fractions

REMEMBER

​If you have to multiply, divide, add, or subtract a whole number by a fraction or vice versa.....

​

​Whole number is ALWAYS OVER 1

​To Add or Subtract fractions...

​You must have a common denominator

​To multiply fractions

​Multiply the numerators, and multiply the denominators. No common denominator necessary!

​When multiplying

​Do not forget to cross cancel when you can

​To divide fractions

Flip the second fraction (reciprocal), then multiply

​Multiply by the reciprocal!

​ALWAYS ALWAYS ALWAYS

​S I M P L I F Y when you can

Multiple Choice

Solve: $$\frac{25}{39}+\frac{7}{39}$$  

• $$\frac{32}{39}$$  

• $$\frac{38}{0}$$  

• $$\frac{32}{78}$$  

• $$\frac{7}{39}$$  

Multiple Choice

Solve: $$\frac{2}{12}\div\frac{6}{11}$$  

• $$\frac{12}{121}$$  

• $$\frac{8}{23}$$  

• $$\frac{22}{72}$$  

• $$\frac{72}{22}$$  

Multiple Choice

Solve: $$\frac{4}{5}\div\frac{8}{10}$$  

• $$\frac{32}{50}$$  

• $$\frac{12}{50}$$  

• $$\frac{4}{30}$$  

• $$\frac{40}{40}$$  

Multiple Choice

Solve: $$\frac{31}{42}-\frac{24}{42}$$  

• $$\frac{7}{42}$$  

• $$\frac{55}{0}$$  

• $$\frac{7}{0}$$  

• $$\frac{55}{0}$$  

Multiple Choice

Solve: $$\frac{56}{75}-\frac{31}{75}$$  

• $$\frac{45}{0}$$  

• $$\frac{25}{0}$$  

• $$\frac{25}{7}$$  

• $$\frac{25}{75}$$  

Multiple Choice

Solve: $$\frac{7}{10}\times\frac{5}{6}$$  

• $$\frac{35}{60}$$  

• $$\frac{42}{50}$$  

• $$\frac{12}{16}$$  

• $$\frac{13}{15}$$  

Multiple Choice

Solve: $$\frac{8}{15}\times\frac{2}{3}$$  

• $$\frac{16}{15}$$  

• $$\frac{16}{45}$$  

• $$\frac{24}{30}$$  

• $$\frac{10}{18}$$  

Multiple Choice

Solve: $$\frac{15}{44}+\frac{22}{44}$$  

• $$\frac{32}{39}$$  

• $$\frac{38}{88}$$  

• $$\frac{37}{44}$$  

• $$\frac{27}{44}$$  

Multiple Choice

$$\frac{7}{9}+\frac{1}{9}$$

• 9/9

• 8/9

• 7/81

• 20/9

Multiple Choice

$$\frac{4}{6}+\frac{2}{6}$$

• 1

• 5/6

• 6/12

Multiple Choice

Solve and SIMPLIFY:

$$\frac{2}{8}+\frac{4}{8}$$

• 3/4

• 6/8

• 6/16

• 3/8

Multiple Choice

• 3/10

• 3/5

• 3/25

• 15/5

Multiple Choice

$$3\times\frac{1}{5}$$

• 3/15

• 3/5

• 4/5

• 4/8

Multiple Choice

$$12\times\frac{1}{3}$$

• 4

• 36

• ⅞

• ¹/₃₆

Multiple Choice

A fraction in which the numerator is greater than or equal to the denominator

• proper fraction

• improper fraction

• denominator

• mixed number

Multiple Choice

A whole number and a fraction

• proper fraction

• improper fraction

• denominator

• mixed number

Multiple Choice

Multiplication can also be considered

• Repeated subtraction

• Division

• Quotients

• Repeated addition

Multiple Choice

$$\frac{1}{8}+\frac{5}{8}$$

• 1

• ⁶/₁₆ or ³/₈

• ⁶/₈ or ³/₄

• ²/₄ or ¹/₂

Multiple Choice

The top number in a fraction is called a...

• Numerator

• Denominator

Multiple Choice

Simplify the fraction: $$\frac{5}{15}$$

• 1/3

• 5/30

• 2/3

• 1/4

Multiple Choice

Multiply these fractions and answer as a mixed number.

• 15 10 / 15

• 16 15 / 10

• 15 2 / 3

• 16 2 / 3

Multiple Choice

• $$\frac{3}{7}$$  

• $$\frac{3}{12}$$  

• $$\frac{1}{12}$$  

• $$\frac{1}{4}$$  

Multiple Choice

• $$\frac{7}{12}$$

• $$-\frac{3}{2}$$

• $$\frac{14}{24}$$

• $$\frac{10}{48}$$

Multiple Choice

• $$\frac{4}{10}$$

• $$\frac{3}{24}$$

• $$\frac{11}{12}$$

• $$\frac{1}{8}$$

Multiple Choice

• $$\frac{7}{11}$$

• $$\frac{31}{24}$$

• $$\frac{10}{24}$$

• $$1\ \frac{7}{24}$$

Multiple Choice

• 1/40

• 5  1/8

• 6  3/8

• 5/8

Multiple Choice

What is the sum of these fractions in lowest terms?

• 5/12

• 5/24

• 6/12

• 6/144

Multiple Choice

• 1/4

• 9/16

• 5/11

• 6/24

Multiple Choice

Solve $$\frac{2}{5}\times\frac{5}{4}$$ . Put your answer in simplest form.

• 10/20

• 1/2

• 7/9