Question

minus 2 upon 3 multiply 3 upon 5 + 5 upon 2 minus 3 upon 5 x 1 upon 6 using appropriate property file

Answer 1

Hey here is your answer
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$= - \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} \\ \\ = (- \frac{2}{3} \times \frac{3}{5} ) - ( \frac{3}{5} \times \frac{1}{6} ) + \frac{5}{2} \\ \\ = \frac{3}{5} ( - \frac{2}{3} - \frac{1}{6}) + \frac{5}{2} \\ \\ = \frac{3}{5} (\frac{ - 4 - 1}{6}) + \frac{5}{2} \\ \\ = \frac{3}{5} \times \frac{ - 5}{6} + \frac{5}{2} \\ \\ = - \frac{1}{2} + \frac{5}{2} \\ \\ = \frac{ - 1 + 5}{2} \\ \\ = \frac{4}{2} \\ \\ = 2$
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Answer 2

Answer:

$\frac{-2}{3}\times\frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times\frac{1}{6}\:\:is\:\:2$

Step-by-step explanation:

Given:

$\frac{-2}{3}\times\frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times\frac{1}{6}$

We need to solve the given expression using appropriate property.

Since in first term and last term of the given expression have one number common. We use Distributive property of multiplication over subtraction.

Distributive property of multiplication over subtraction:

a × ( b - c ) = a × b - a × c

Now, Consider

$\frac{-2}{3}\times\frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times\frac{1}{6}$

$=\frac{-2}{3}\times\frac{3}{5}-\frac{3}{5}\times\frac{1}{6}+\frac{5}{2}$

$=\frac{3}{5}\times(\frac{-2}{3}-\frac{1}{6})+\frac{5}{2}$

$=\frac{3}{5}\times(\frac{-4}{6}-\frac{1}{6})+\frac{5}{2}$

$=\frac{3}{5}\times(\frac{-4-1}{6})+\frac{5}{2}$

$=\frac{3}{5}\times\frac{-5}{6}+\frac{5}{2}$

$=\frac{1}{1}\times\frac{-1}{2}+\frac{5}{2}$

$=\frac{-1}{2}+\frac{5}{2}$

$=\frac{-1+5}{2}$

$=\frac{4}{2}$

$=2$

Therefore, $\frac{-2}{3}\times\frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times\frac{1}{6}\:\:is\:\:2$