5*1/4+6*2/3+7*1/6=?

1 Answer
Mar 27, 2018

#77/12#

Explanation:

#5*1/4+6*2/3+7*1/6#

Group the operations in order according to PEMDAS. Multiplications comes before addition.

#rArr(5*1/4)+(6*2/3)+(7*1/6)#

#rArr5/4+12/3+7/6#

Now convert the fractions using a lowest common multiple in the denominator (12 in this case)

#rArr(5/4*1)+(12/3*1)+(7/6*1)#

#rArr(5/4*3/3)+(12/3*4/4)+(7/6*2/2)#

#rArr(5*3)/(4*3)+(12*4)/(3*4)+(7*2)/(6*2)#

#rArr15/12+48/12+14/12#

#rArr(15+48+14)/12#

#rArr77/12#