Question

3 1/10- 2 5/6 in simplest form​

Answer 1

`(4)/(15)`

Explanation:

`3 (1)/(10) - 2 \ (5)/(6)`

Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6

`(31)/(10) - (17)/(6)`

Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:

`= (186 - 170)/(60)`

Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.

`= (16)/(60) = (4)/(15)`

Therefore the answer is 4/15 in simplest form.