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Basic Math 3

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Proper and Improper Fractions

Fractions

Proper Fractions

Bottom (denominator) is greater than the top (numerator) number. So its value will be below one.

Examples:

1/4 = 0.25

5/16 = 0.3125

11/32 = 0.34375

3/8 = 0.375

7/16 = 0.4375

1/2 = 0.50

9/16 = 0.5625

5/8 = 0.625

11/16 = 0.6875

3/4

13/16

7/8

15/16

Improper Fractions

Bottom (denominator) is greater than the top (numerator) number. So its value will be greater than one.

Examples: 1/4, 1/10, 4/5, 9/10, 234/300

Improper Fractions

Same as above, but using the metric system, and vice versa.

Food for thought.

Time

24 hours in 1 day.

60 minutes in 1 hour.

60 seconds in 1 minute.

3600 seconds = 1 hour.

86400 seconds = 1 day.

6 hours is 6/24 of a day.

6/24 is same as 0.25.

0.25 = 1/4.

1/4 = 25%

Do you sleep more than 25% of the day away?

Long Division

Order does not matter.

1    x 0  = 0

1  x 1 = 1

1  x 6 = 6

2 x 3 = 6

Long Multiplication

Order matters here too. Largest number first, for now, to avoid fractions.

There are also a few ways to write this.

  12           6      12

÷ 6      ÷ 12    ÷ 2

   2       0.5        6

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       5    

3   15

These structures can also be described like this:

15 ÷ 3  = 5  

Dividend ÷ Divisor = Quotient

  15 / 3 = 5

Dividend / Divisor = Quotient

   15    Dividend

÷ 3     Divisor

   5     Quotient  

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       5    

3   15

0001.png

               Quotient

Divisor    Dividend

Terms and Definitions

The only way to learn mathematics is to do mathematics.
 
- Paul Halmos

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