To simplify this fraction you find a number that both the top and bottom can be divided by. in this case both can be divided by 3 turning the fraction to 3/5.
to make it a decimal we take the simplified 3/5 and multiply it by 2 making it 6/10. now that the bottom is 10 we take the 6 and put it in the tenths place of a decimal. so it would be 0.6. or you could divide the top by the bottom, 3 divided by 5 is also 0.6.
<span>This is somewhat similar to something called Cramer's Rule http://www.1728.org/cramer.htm
A) 3x – 7y = 25
a =3 b=-7 e=25
B) 5x – 8y = 27</span>
c=5 d=-8 f=27
dn = |a b |
|c d |
dn = |3 -7|
|5 -8
dn = (3*-8) -(5*-7)
dn = -24 +35
dn = 11
x = |e b|
|f d|
divided by dn
x = |25 -7|
|27 -8|
divided by dn
x = -200 -(-189) / 11
x = -11 / 11
x = -1
y = |a e |
|c f |
divided by dn
y = |3 25|
|5 27|
divided by dn
y = 81 -125 / dn = -44 / 11 =-4
A. 23/93If you wish to divide by a fraction then this is the same as multiplying by that fraction after you swap the numerator and denominator of that fraction. So (5/31) / (15/23) is the same as (5/31) x (23/15). When multiplying fractions you multiply the numerators by each other, and place them as the numerator of the answer and then multiply the denominators and that becomes the denominator of your answer. In this case you now have (5x23)/(31x15). You wish to reduce the fraction so you have (5x23)/(31x5x3) if you factor them. A 5 may be removed from both the top and bottom leaving you (23)/(31x3), or 23/93 sorry for the long answer but there you go
