Hey there mate :)
When a number is multiplied by a fraction equal to 1, the value of the number remains the same.
Using this, we can find the values:-
Image 2 answers :
![(4)/(5) * (4)/(4) = (4)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2666w1teodp1vrb359pvsqt3ujdg1jbvp6.png)
When we cancel the same 4 of LHS remaining we get as 4/5. By doing the same method, we can find the remaining answers.
![(2)/(3) * (7)/(7) = (2)/(3) \\ \\ (5)/(6) * (8)/(8) = (5)/(6) \\ \\ (3)/(4) * (5)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/6jrawrerpg4q4ansgl9uab1c9wb2yl1aih.png)
Image 1 answers :
![(2)/(3) * (4)/(2) = (4)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/76iod4j7ti01tceet5soykjvbzjqptke98.png)
Here, cancel the common numbers in LHS and write back the remaining uncancelled numbers to get 4/3 in RHS.
Using same method,
![(3)/(4) * (5)/(3) = (5)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/y3roiwrnosm1296x2et2fc1c52g8hak511.png)
Next, Now in last two questions, we have to do a little differently. Till this much time we did by cancelling the common numbers. So, multiply the numerator and denominator.
![(1)/(4) * (3)/(2) \\ = > (1 * 3)/(4 * 2) \\ = > (3)/(8)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2g3fl552t3lkejbxy09ecls2n33mcauw5x.png)
So, above question's answer is 3/8.
Likewise, using the same method, find the next question :-
![(2)/(5) * (4)/(3) \\ = > (2 * 4)/(5 * 3) \\ = > (8)/(15)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wi5dew1xzec5a55dh1fji1l4ubf46e5dxz.png)
So, next answer is 8/15.
Hope this Helps...
![Benjemin360 :)](https://img.qammunity.org/2023/formulas/mathematics/high-school/q4d7v3yrfv0t6jmot3mn5bx223jl6dn1aq.png)