how does 11/600 + 1/t = 0.0225 become 1/t = 1/240

Question

how does 11/600 + 1/t = 0.0225 become 1/t = 1/240

Answer 1

 

To see that, notice that 0.0225 can be written as 225/10000 and if you

take a common factor of 25 out of the numerator and denominator:

 

    225               (25)(9)                   9

 ———    =   ——————     =    ----------

  10000             (25)(400)               400

 

Now write the original equation using 9/400 instead of 0.0225:

 

      11           1           9

     ——  +   —— =   ------

     600          t          400

 

 

From this point you can subtract 11/600 from both sides and then find a common denominator for subtraction of the two fractions, then reduce the resulting fraction.