Question

a=4/3 , b=2/5 find a-b and b-a and write whether they are equal or not.

Answer 1

a-b=14/15

b-a= -14/15

those both are not equal

Answer 2

Answer:

Given:-

Find a - b and b - a and write whether they are equal or not. If $a = \frac{4}{3} , b = \frac{2}{5}$

To Find:-

a - b and b - a ; Write whether they are equal or not.

Note:-

●》Two or more than two fractions should have same denominators value , if not then we should take L.C.M to make common denominators value.

●》For checking equal or not , a - b = b - a, or not.

Solution:-

[ First, a - b ],

$\huge\pink{a}$ = $\frac{4}{3}$ , $\huge\pink{b}$ = $\frac{2}{3}$

☆ Finding~

▪︎$a - b$

▪︎$\frac{4}{3} - \frac{2}{5}$

☆ According to note first point ( L.C.M ), Let's make denominators equal~

☆ L.C.M = 15

▪︎$\frac{4}{3} × \frac{5}{5} - \frac{2}{5} × \frac{3}{3}$

▪︎$\frac{20}{15} - \frac{6}{15}$

☆ After doing calculations~

▪︎$\frac{14}{15}$

$\huge\red{a - b}$ = $\frac{14}{15}$

_______________________________

[ Now b - a ]

▪︎$b - a$

▪︎$\frac{2}{5} - \frac{4}{3}$

☆ L.C.M = 15

▪︎$\frac{2}{5} × \frac{3}{3} - \frac{4}{3} × \frac{5}{5}$

▪︎$\frac{6}{15} - \frac{20}{15}$

☆ After doing calculations~

▪︎$- \ \frac{14}{15}$

$\huge\red{b - a}$ = $- \ \frac{14}{15}$

_______________________________

[ Now, equal or not ]

☆ According to note second point~

▪︎$a - b = b - a \ \ ?$

▪︎$\frac{14}{15} = - \ \frac{14}{15} \ \ ?$

☆ No! Because of symbols

Hence, a - b ≠ b - a.

Answer:-

Hence,

• a - b = $\frac{14}{15}$
• b - a = $- \ \frac{14}{15}$
• a - b ≠ b - a