Question 238075
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.