Question

Find using appropriate properties 4/7×-2/5- 1/10 - 2/5 × 3/7

Answer 1

Answer: Our simplied answer to this expression will be

$\frac{-1}{2}$

Explanation:

Since we have given that

$\frac{4}{7}\times \frac{-2}{5}-\frac{1}{10}-\frac{2}{5}\times \frac{3}{7}$

First we use the commutative property which says that

$a+b=b+a$

So, our expression becomes

$\frac{4}{7}\times \frac{-2}{5}-\frac{2}{5}\times \frac{3}{7}-\frac{1}{10}$

Now, we'll use the distributive property, which states,

$a\times (b+c)=ab+ac$

So, our expression becomes,

$\frac{-2}{5}(\frac{4}{7}+\frac{3}{7})-\frac{1}{10}\\\\\frac{-2}{5}(\frac{4+3}{7})-\frac{1}{10}\\\\=\frac{-2}{5}\times 1-\frac{1}{10}\\\\=\frac{-2}{5}-\frac{1}{10}\\\\=\frac{-4-1}{10}\\\\=\frac{-5}{10}\\\\=\frac{-1}{2}$

Answer 2

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