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what is the sum of -3 1/5 + -2/3 =

Sagot :

-3 1/5 / -2/3 = ?

[tex]\frac{(-3\frac{1}{5})}{(-\frac{2}{3})}[/tex]

Steps.

1. convert mixed number to improper fraction

[tex]-3\frac{1}{5}=-3-\frac{1}{5}=\frac{-15}{5}-\frac{1}{5}=\frac{-15-1}{5}=\frac{-16}{5}=-\frac{16}{5}[/tex]

2. rewrite the problem

[tex]\frac{-\frac{16}{5}}{-\frac{2}{3}}[/tex]

3. Eliminate negative signs

[tex]\frac{\frac{16}{5}}{\frac{2}{3}}[/tex]

4. Apply the following property

[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot\:d}{b\cdot\:c}[/tex][tex]\frac{\frac{16}{5}}{\frac{2}{3}}=\frac{16\cdot\:3}{5\cdot\:2}[/tex]

5. Solve and simplify

[tex]=\frac{8\cdot2\cdot3}{5\cdot2}=\frac{8\cdot3}{5}=\frac{24}{5}[/tex]

6. convert the improper fraction to a mixed number

[tex]\frac{24}{5}=\frac{20+4}{5}=\frac{20}{5}+\frac{4}{5}=4+\frac{4}{5}=4\frac{4}{5}[/tex]

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