ErabellaW250506 ErabellaW250506
  • 25-10-2022
  • Mathematics
contestada

Simplify: [tex] |( \frac{1}{4} - \frac{1}{5} ) | + ( - \frac{3}{4} + \frac{1}{8} ) | [/tex]A.) 23/40B.) -5/8C.) 1/20D.) 3/16

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DarielyB193155 DarielyB193155
  • 25-10-2022

The given expression is

[tex]|(\frac{1}{4}-\frac{1}{5})+(-\frac{3}{4}+\frac{1}{8})|[/tex]

First, less solve each difference of fractions.

[tex]|\frac{1}{4}-\frac{1}{5}-\frac{3}{4}+\frac{1}{8}|[/tex]

Now, we find the least common multiple.

4 5 4 8 | 2

2 5 2 4 | 2

1 5 1 2 | 2

1 5 1 1 | 5

1 1 1 1

So, the least common factor is 2x2x2x5=40

[tex]|\frac{10-8-30+5}{40}|=|\frac{-23}{40}|=\frac{23}{40}[/tex]

Hence, the answer is A) 23/40.

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