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.
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
Ready for more?
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