Fractions-Decimals-Integers

Fractions-Decimals-Integers

by Krista Simonsen

To ADD or SUBTRACT fractions, they must have a common denominator

• ​If the denominators are the same -

• ​ADD or SUBTRACT numerators -

• ​Keep the denominator the same

Multiple Choice

What must you have to add and subtract fractions?

• Common numerators

• Different numerators

• Different denominators

• Common denominators

Multiple Choice

¹¹/₁₂ - ⁵/₁₂

• 6/₁₂

• ⁵/12

• ⁸/₁₂

• ²/₁₂

Multiple Choice

Find the sum & SIMPLIFY: 2/12 + 4/12

• 7/12

• 6/12

• 2/4

• 1/2

Multiple Choice

4/5 - 1/5 =

• 3/10

• 3/5

• 3/25

• 15/5

​If No Common Denominator

​You need to first find the common denomiator

Multiple Choice

What is a common denominator for 1/3 and 1/2?

• 2

• 3

• 5

• 6

Multiple Choice

What is a common denominator for 1/3 and 3/5?

• 15

• 3

• 3

• 10

Multiple Choice

What is 9/10 - 3/4?

• 5/7

• 3/20

• 3/8 

• 9/10

Multiple Choice

• 13/15

• 1 7/12

• 1

• 9/15

To multiply fractions, multiply the numerators, and multiply the denominators

Multiple Choice

⅙ × ⅓ =

• ¹/₃

• ¹/₁₈

• ²/₉

• ¹/₉

Multiple Choice

¼ × ⅚ =

• ¹/₄

• ⁶/₂₀

• ⁵/₂₄

• ³/₂₀

When multiplying fractions - NO mixed numbers

Mixed Numbers to Improper Fractions

MAD

Multiply the Denominator and the Whole Number

Add the Numerator

Denominator stays the same

Multiple Choice

Convert the Mixed Number to an Improper Fraction. 

$$3\ \frac{4}{6}$$  

• $$\frac{12}{6}$$  

• $$\frac{28}{6}$$  

• $$\frac{22}{4}$$  

• $$\frac{22}{6}$$  

Multiple Choice

• 2 2/7

• -1 4/5

• -2 2/7

• 1 4/5

Multiple Choice

1 ¼ × 2 ¾ =

• 3 ⁷/₁₆

• 1 ¹/₂

• 2 ³/₁₆

• 4 ¹/₄

To divide fractions, invert the SECOND fraction, then multiply

Multiple Choice

• 2

• 4

• 1

• 1/8

Multiple Choice

⁴/₉  ÷  ¹/₂

• ⁸/₉

• ⁵/₁₁

• ⁶/₁₀

• ⁴/₁₈

Adding & Subtracting Decimals

• Place the decimal point after each whole number

• Line up the decimal points

Multiple Choice

.75 + 40.5 =

• 40.80

• 41.25

• 47.50

• 43.80

Multiple Choice

-.5 + .5 =

• 1.0

• -1.0

• 10

• 0

Multiplying Decimals

• Ignore the decimal.

• Multiply like normal.

• Count the digits behind the decimals in the problem.

• "Scoop" the decimal that many places to the LEFT in your answer.

Multiple Choice

$$3.14\times2.1=?$$  

• 6.594

• 5.14

• 6.908

• 6.604

Multiple Choice

$$8.22\div0.2$$  

• 4.11

• 41.1

• 411

• .411

​Integers!

​

Rules for Adding Integers

Multiple Choice

-7 + 15 =

• 8

• -8

• 22

• -22

Subtracting Integers

Rewrite the problem then solve using addition rules!

Multiple Choice

6 - 10 =

• 4

• -4

• 16

• -16

Multiple Choice

21 - (-8) =

• 13

• -13

• 29

• -29

Multiply and divide... you can use a calculator to check your work!

Multiple Choice

When you multiply 2 positive or 2 negative numbers the answer will ALWAYS be:

• negative

• positive

Multiple Choice

$$-24\div-6=$$   

• 4

• -4

• 18

• -18

Multiple Choice

$$20\cdot\left(-6\right)=$$  

• 12

• -12

• 120

• -120

Multiple Choice

$$-12\times\left(-10\right)=$$  

• 2

• -2

• 120

• -120