# Basic Math 3

# What's next?

Proper Fractions, Improper Fractions, and More!

### Proper Fractions

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

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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.

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

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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.

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Examples:

0/1 = 0

0/3.5 = 0

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1/0 = undefined

3.5/0 = undefined

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Ready for more?

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

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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