Improper Fractions
what's 7/5 as a mixed number?
1 2/5
How do you find the equivalent fraction to 1/2
1/2 find the lowest common denominator=1/2x2/2
2/4
Why do we multiply across and not the bottom numbers with top 4/8 x 1/8?
You multiply the numerators together and the denominators together because multiplication of fractions represents taking a fraction "of" another fraction. Cross-multiplying is a different operation used to solve equations to see if two fractions are equal or to compare them.
Why do we Subtract only the top numbers in this equation, 3/9 - 5/9?
Because if we Subtract the bottoms it will cancel and wont make sense as an equation.
3-5=2
keep the 9 because it's the same number.
2/9
whats 3/9+ 5/9?
8/9
what is 18/7 as a mixed number?
2 4/7
2x7=14
14+4=18
18/7
what's 2/7 as an equivalent fraction?
8/21
How do you multiply 2/4 x 3/4?
We multiply across
denominator with the denominator
numerator with numerator
2 x 3= 6
4 x 4 = 16
6/16
What is the difference between Least Common Multiple and Least Common Denominator?
The least common multiple is a general term for the smallest positive integer divisible by two or more numbers, while the least common denominator is the specific concept to create a common denominator for adding or subtracting fractions
Why do you add only the top numbers and not the bottom 4/8 + 6/8?
Since the bottom numbers are the same we don't need to add but if they were different we would have to find the lowest common denominator we only add the top and we get ten.
4 + 6 =10
10/8
how do you turn 34/15 into a mixed number
divide 34 and 15 which is 2 with a remainder of 4
2 4/15
2 x 15= 30
30+4= 34
Why do we have to find 4/8 as an equivalent fraction?
The primary reason we find an equivalent fraction is to express it in its simplest form, because simplified fractions are easier to understand and work with.
4 x 4=16
8 x 4=32
16/32
Multiply 8/10 x 9/10 and find the simplest form
72/100
Whats 18/21 - 34/21?
-16/21
How do we add 18/32 + 16/32
first we have add 18 and 16
18 + 16= 34
and then we must
34/32 divide by 2
which you get 17/16
17/16 or as a mixed number you get 1 1/16
How do you find 87/14 as a mixed number.
divide 87 and 14
and you get 3 with a remainder of 6
6 3/14
how do you divide 10/12?
divide both the numerator and the denominator by their greatest common factor, 2
10 divide by 2 is 5
12 divide by 2 is 6
5/6
multiply 24/19 x 35/19 and find it in simplest form if needed.
840/361
its already in simplest form.
How do you subtract 44/50 - 15/36?
Bring them to their lowest terms
44/50=22/25
15/36=5/12
The denominators are 25 and 12 which have no common factors.
25x12=300
22x5=264
5x25=125
264-125=139
139/300
How do you add 56/67+ 47/78?
first find the least common multiple of the denominators 67 and 78. Since 67 is a prime number the least common multiple stays the same 56x67=4368
67×78=5226
47x67=3149
3149+4368 =7517
7517/5226
How do you turn 100/13 into a mixed number?
divide 100/13 and you get 7 with a remainder of 9
13 x 7 = 91
91+9= 100
9 7/13
why would we divide 30/89 and 56/78 and not leave it the same?
we have to solve it and that means that it has to change.
first 30/89 x 78/56
30x78=2340
89x56=4984
2340/4984 divide by 4 to get the lowest common denominator
585/1246
How you multiply 10/56 x 34/78?
10 x 34 = 340
56 x 78 = 4368
340/4360
simplest form would be 17/218
How do you subtract 45/78 - 35/46?
First, find the prime factors of the denominators 78 and 46 to get the least common multiple
78=2x3x13
46=2x23
2x3x13x23=1794
45x23=1035
35x39=1365
1035-1365=-330/1794
divide by the least common multiple 6
-55/299
how do you add 23/54 + 45/55
45/55 divided by 5=9/11
9x54=486
11x54=594
23x11=253
54x54=594
486+253=739
739/594