addition
What is 1/2 plus 1
3/2 or 1 and 1/2
What is 1 minus 3/4?
1-3/4
4/4-3/4= 1/4
What is 2/3 times 1?
1 x 2/3
1/1 x 2/3= 2/3
What is 1 divided by 1/4?
1 / (1/4)
(1/1) / (1/4)
(1/1) * (4/1)= 4
What does 4/4 simplify into?
4/4
4 is the same in the numerator and denominator so it is equal to 1.
or 4 divide into 4 = 1
What is 2/3 + 1/3?
2/3+1/3
denominator is the same at 3
add the numerators 2+1=1
that gives us 3/3 which is also 1
What is 6/5 - 1/5?
the denominator is the same which is 5
subtract the numerators 6-1=5
then we have 5/5 which is also 1
What is (4/5) x (5/4)?
multiply the numerators 4 x 5= 20
multiply the denominators 5 x 4=20
20/20 simplifies to 1
alternatively the numerators and denominators cross cancel each other out as factors.
(2/3) / (2/3) keep, change, flip
(2/3) x (3/2)
numerators multiply 2 x 3 =6; denominators multiply 3 x 2= 6
6/6 which simplifies to 1
What does 6/4 simplify into?
6 has factors of 6 x 1; 2 x 3
4 has factors of 4 x 1; 2 x 2
2 is a common factor of both numbers
numerator 6/2 = 3 denominator 4/2 =2
3/2 is the simplified version
What is -6/5+ 16/5?
Same denominator so -6+16=10
10/5= 2
What is (1/4) - (6/4)?
(-5/4)
What is (-2/3) x (1/2)?
first multiply the numerators -2 x 1= -2
then multiply the denominators 3 x 2= 6
then put the numerator and denominator in place
-2/6 which simplifies into -1/3
What is (-1/5) divided (6/7)
keep change flip
(-1/5) x (7/6)
-1x7= -7 ; 6x7= 30
(-7/30)
What does -28/45 simplify into?
28 and 45 are both factors of 7
-28=7x-4 ; 45= 7x9
so -4/9
What is 6/5 +13/10?
Different denominators but 5 and 10 are multiples of each other so multiple (6/5) times 2 (2*5=10)
so (12/10)+(13/10)= 25/10
simplify to 5/2
What is (4/3)-(5/6)?
different denominators
3 is a factor of 6 (3x2=6) so
multiply 2x(4/3)= 8/6
(8/6)-(5/6) same denominator 8-5=3
3/6 simplify into 1/2
What is (6/7)x(14/9)?
6 and 9 are factors of 3 so 6 becomes 2 and 9 becomes 3
14 and 7 are factors of 7 so 14 becomes 2 and 7 becomes 1
(2/1)x(2/3)= (4/3)
What is (-3/2) divide by (12/8)?
keep change flip
(-3/2) x (8/12)
3 and 12 are factors of 3 (1 and 4) 8 and 2 are factors of 2 (4 and 1)
(1/4)x(4/1)= 4/4 = 1
What does 5050/22000 simplify into?
both end with 0 so reduce that to 505/2200
both 2200 and 505 have factors of 5
101/440
What is (5/4) + (7/3)?
multiply (5/4) by denominator of (7/3) so 3 x (5/4) which is 3 x 5=15; 3 x 4=12 so (15/12)
multiply (7/3) by the denominator of (5/4) so 4 x (7/3) which is 4 x 7=28; 4 x 3= 12 so (28/12)
(15/12)+(28/12) same denominator so 15+28=43 the answer is (43/12) without simplification
What is (9/4) - (7/5)?
Get same denominator by cross multiply by denominators. 5x9=45; 5x4=20 so (45/20)
4x7=28; 4x5=20 so (28/20) (45/20)-(28/20) same denominators so 45-28= 17 (17/20)
what is (-5/6) x (9/7)
-5x9=-45
6x7= 42
-45/42. both -45 and 42 have factors of 3 (-45=5x3x3x-1; 42=2x7x3)
simplifies into -15/14
What is -9/7 divided by -3/14?
keep change flip
(-9/7) x (-14/3)
-9 and 3 are factors, -14 and 7 are factors
simplify to (-3/1) x (-2/1)= (6/1) or 6
negative divide/multiply negative= positive
What does -20400/30600 simplify into?
both are 5 digits long with 00 at the end so remove those to get -204/306
from there we can factor out 102 (difference between -4 and 6 is -2 and 3 and 2 is 1)
that leaves us with -2/3