Question

If x=1/4,y=2/3and z=5/12 then find the value of x+(y+z)​

Answer 1

Step-by-step explanation:

=1/4+2/3+5/12

=1/4(4)(3)(12)+2/3(4)(3)(12)+5/12(4)(3)(12)

=1(3)(12)+2(4)(12)+5(4)(3)

=36+96+60

=192

Answer 2

Step-by-step explanation:

• x = $\frac{1}{4}$
• y = $\frac{2}{3}$
• z = $\frac{5}{12}$

→ x + ( y + z )

→ $\frac{1}{4} {+} {(\frac{2}{3}} {+} {\frac{5}{12})}$

→ $\huge\bold\red{LCM~of~denominators}$ :-

• 4 , 3 and 12

$\Large{\begin{array}{ c | c | c }\tt 2 & \sf{4 , 3 , 12} \\ \cline {1-3} \tt 2 & \sf{2 , 3 , 6} \\ \cline {1-3} \tt 2 & \sf{1 , 3, 2} \\ \cline {1-3} \tt 3 & \sf{1 , 3 , 1} \\ \cline {1-3} \tt 1 & {1 , 1 , 1}\end{array}}$

LCM of 4,3 and 12 → 12

→ $\frac{29}{12}$