Question

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

Answer 1

`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`