Question
Evaluate the following:
$\frac{2}{3}-\frac{3}{5} $
$\frac{2}{3}-\frac{3}{5} $
✓
Answer
$\frac{2}{3}-\frac{3}{5} $
LCM of 3 and 5 is 15
$\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}$
$\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}$
$\frac{2}{5}-\frac{3}{5}=\frac{10}{15}-\frac{9}{15}$
$=\frac{1}{15}$
LCM of 3 and 5 is 15
$\frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15}$
$\frac{3}{5}=\frac{3\times3}{5\times3}=\frac{9}{15}$
$\frac{2}{5}-\frac{3}{5}=\frac{10}{15}-\frac{9}{15}$
$=\frac{1}{15}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A rectangular sheet of paper is $15\frac{3}{4}\text{cm}$ long and $12\frac{1}{2}\text{cm}$ wide. Find its perimeter.
→Is it possible to have a triangle, in which.
Each angle is greater than 60°?
Each angle is greater than 60°?
Add the following rational numbers:
$-4\text{ and }\frac{1}{2}$
→$-4\text{ and }\frac{1}{2}$
Find the area of a right triangle having base $=24 cm$ and hypotenuse $=25 cm$.
→1.8m of cloth is required for a shirt. How many such shirts can be made from a piece of cloth 45m long?
Subtract:
$\frac{-5}{6}\text{ from }\frac{1}{3}$
→$\frac{-5}{6}\text{ from }\frac{1}{3}$
A fruit-seller had some apples. He sells 40% of them and still has 420 apples. Find the number of apples he had originally.
Find the simple interest and the amount when:
Principal = Rs. 9600, rate $=7\frac12\text{%}\text{ p.a.}$ and time = 5 months.
→Principal = Rs. 9600, rate $=7\frac12\text{%}\text{ p.a.}$ and time = 5 months.
In fig. (i) $\text{PL}\bot\text{OA}$ and $\text{PM}\bot\text{OB}$ such that $\text{PL}=\text{PM}$. Is $\triangle\text{PLO}\cong\triangle\text{PMO}?$ Give reason in support of your answer.
→The height of a parallelogram is one-third of its base. If the area of the parallelogram is $108 cm^2$, find its base and height.
→