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