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Pie
3 years ago
7

3 1/10- 2 5/6 in simplest form​

Mathematics
1 answer:
Allushta [10]3 years ago
8 0

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.

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