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Proper Fractions, Improper Fractions, and More!

### Proper Fractions

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

Examples:

numerator/denominator = decimal

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 = 0.75

13/16 = 0.8125

7/8 = 0.875

15/16 = 0.9375 ### Improper Fractions Bottom (denominator) is greater than the top (numerator) number. So its value will be greater than one.

We will flip the numbers from the last section and see them become improper factions, then change their values.

Examples:

4/1 = 4.0

16/5 = 3.2

32/11 = 2.91

8/3 = 2.67

16/7 = 2.29

2/1 = 2.0

16/9 = 1.78

8/5 = 1.6

16/11 = 1.45

4/3 = 1.33

16/13 = 1.23

8/7 = 1.14

16/15 = 1.07

Special Circumstances

Zero is commonly used as a place holder, and can create some special circumstances.

Examples:

0/1 = 0

0/3.5 = 0

1/0 = undefined

3.5/0 = undefined

The Teen Math section will have long division and fraction math operations.

Examples:

improper fraction = decimal = mixed numbers

5/4 = 1.25 = 1-1/4

3/2 = 1.5 = 1-1/2

### Fraction Terms  Lets go over some more math lingo. 2 red parts out of 4 total parts, so 2/4, or 1/2 of total (whole). Same as above, so they are equivalent. Again 2/4, simplified to 1/2. Same as above, so they are equivalent. 2/4 = 1/2 Same as above, so they are equivalent. 1/2 This circle is partitioned into 4 pieces or partitions. One partition is red. 1/4 This circle has 3 red partitions. 3/4

or

This circle has 1 white partition. 1/4

Unit Fraction

Unit fractions have 1 for their numerator.

Examples: 1/4, 1/9, 1/32

Reciprocal

Reciprocal fractions are flipped, they have their numerator and denominator switched.

Example: 1/4 to 4/1