Simplify:::::::::::::::: (4)/(15) * ( (1)/(4) + (5)/(6) ) ​

Question

Simplify::::::::::::::::


`(4)/(15) * ( (1)/(4) + (5)/(6) )`
​

Answer 1

`(13)/(45)` or 0.2888... - in decimal form.

Step-by-step explanation:

using PEDMAS rule:

`(4)/(15) * ( (1)/(4) +(5)/(6) )` [ finish the addition in the brackets ]

`(4)/(15) * ( (6)/(24) +(20)/(24) )` [ make the denominator same ]

`(4)/(15) * ( (6+20)/(24) )` [ join the fraction as they now have same denominator ]

`(4)/(15) * ( (26)/(24) )` [ after joining ]

`(4)/(15) * ( (13)/(12) )` [ simplified ]

`(4 * 13)/(15 * 3 * 4)` { 4 gets cut }

`(1*13)/(15*3)` { basic multiplication }

`(13)/(45)` [ final answer ]