Question
Solve : $5 \frac{2}{3}- z =2 \frac{1}{2}$

Answer

$5 \frac{2}{3}- z =2 \frac{1}{2}$
$\Rightarrow \frac{17}{3}- z =\frac{5}{2}$
$\Rightarrow \frac{17}{3}-\frac{5}{2}= z$
$\Rightarrow 6 \times z =\frac{17}{3} \times 6-\frac{5}{2} \times 6($ Multiply both side by $6 )$
$\Rightarrow 6 z =34-15$
$\Rightarrow 6 z =19$
$\Rightarrow z =\frac{19}{6}$
$\Rightarrow z =3 \frac{1}{6}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If angles of quadrilateral are in the ratio 4 : 5 : 3 : 6 ; find each angle of the quadrilateral.
The difference between the ages of a woman and her son is 19 years and the sum of their ages is 37 years; find the age of the son.
A water tank can hold $56 \frac{1}{4}$ litres of water. How much water is contained in the tank when it is $\frac{8}{15}$ full?
After finishing $\frac{3}{4}$ of my journey, I find that $12 km$ of my journey is covered. How much distance is still left to be covered?
Solve: $\frac{ z }{7}+1=2 \frac{1}{2}$
Length of a rectangle is $30\ m$ and its breadth is $20\ m$. Find the increase in its area if its length is increased by $10\ m$ and its breadth is doubled.
A number is increased by 12 and the new number obtained is multiplied by 5. If the resulting number is 95, find the original number.
Find the L.C.M. of the following numbers using prime factorisation method :
63, 105
The perimeter of a square plot $= 360 \ m$. Find:
$(i)$ its area.
$(ii)$ cost of fencing its boundary at the rate of $₹\ 40$ per metre.
$(iii)$ cost of levelling the plot at $₹\ 60$ per square metre.