Question 238075: how do you solve improper fractions ex.49 6/7+64 5/14
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your equation is:
49 and 6/7 added to 64 and 5/14
this can be looked upon as:
49 + 6/7 + 64 + 5/14
set y = to this equation.
you get:
y = 49 + 6/7 + 64 + 5/14
multiply both sides of this equation by 14 to get
14y = 14*49 + 2*6 + 14*64 + 5
simplify and combine terms on the right side of this equation to get:
14y = 1599
divide both sides of this equation by 14 to get:
y = 1599/14 = 114.2142857
I confirmed this with the original equation so I know the answer is good.
The other way to solve this is to make the improper fractions into proper fractions and then solve.
your original equation is once again:
49 and 6/7 added to 64 and 5/14
take 49 and 6/7 and make a proper fraction out of it.
you multiply 49 by 7 and divide it by 7 to get 49*7/7
you add 49*7/7 to 6/7 to get (49*7+6)/7
this becomes 349/7
do the same with 64 and 5/14
multiply 64 by 14 and divide it by 14 to get 64*14/14.
this becomes 896/14.
add this to 5/14 to get 901/14
your problem becomes adding 349/7 to 901/14
you still need to get a common denominator so take 349/7 and multiply it by 2 and divide it by 2 to get 698/14.
your problem is now to add 698/14 to 901/14
this becomes (698 + 901)/14 which becomes 1599/14
divide 1599 by 14 to get 114.2142857
this is the same as 114 + 3/14
that's the same answer we got before so we're good.
the third alternative is to simply take the fractional part and turn it into a decimal and add it to the whole number part.
this works best if you have a calculator.
49 + 6/7 becomes 49.857142857
64 and 5/14 becomes 64.357142857
49.857142857 and 64.357142857 = 114.2142857 which is the same answer you got before using the two other methods.
when you multiply a number and divide a number by the same number, the number remains the same.
2 * 7/7 is still 2.
it just looks different.
it looks like 14/7 rather than 2.
if you divide 14 by 7 though, you still get 2.
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