Question

(10/3+31/6)×2/5-11/4:(3/2-2/5)=

Answer 1

(10/3+31/6)×2/5-11/4:(3/2-2/5)=51/6×2/5-11/4÷11/10=51/15-5/2=27/30=9/10

Answer 2

68/20-33/20=35/20=7/4

Answer 3

To solve this expression, let's break it down step by step following the order of operations (PEMDAS/BODMAS):

1. First, perform the operations within parentheses: $\frac{10}{3} + \frac{31}{6} = \frac{20}{6} + \frac{31}{6} = \frac{51}{6}$

2. Multiply the result from step 1 by $\frac{2}{5}$: $\frac{51}{6} \times \frac{2}{5} = \frac{102}{30}$

3. Perform the operations within the second set of parentheses: $\frac{3}{2} - \frac{2}{5} = \frac{15}{10} - \frac{4}{10} = \frac{11}{10}$

4. Divide the result from step 2 by the result from step 3: $\frac{102}{30} \div \frac{11}{10} = \frac{102}{30} \times \frac{10}{11} = \frac{1020}{330}$

5. Simplify the fraction in step 4: $\frac{1020}{330} = \frac{340}{110} = \frac{170}{55} = \frac{34}{11}$

So, the final result of the expression is $\frac{34}{11}$.