Question

3 1/10- 2 5/6 in simplest form​

Answer 1

Answer:

$\frac{4}{15}$

Step-by-step explanation:

$3 \frac{1}{10} - 2 \ \frac{5}{6}$

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

$\frac{31}{10} - \frac{17}{6}$

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:

$= \frac{186 - 170}{60}$

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

$= \frac{16}{60} = \frac{4}{15}$

Therefore the answer is 4/15 in simplest form.