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whats the diffrence of 2 2/3 - 1 2/5 write answer in simplest form

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Naǫid
[tex]2 \frac{2}{3}-1 \frac{2}{5}=2 \frac{2 \times 5}{3 \times 5}-1 \frac{2 \times 3}{5 \times 3}=2 \frac{10}{15}-1 \frac{6}{15}=\boxed{1\frac{4}{15}}[/tex]
[tex] 2 \frac{2}{3} ~-~ 1\frac{2}{5} [/tex]

Convert into improper fraction

[tex] \frac{8}{3} ~-~ \frac{7}{5} [/tex]

Convert denominators into a same number

[tex] \frac{40}{15} ~-~ \frac{21}{15} [/tex] = [tex] \frac{19}{15} [/tex]

[tex] \frac{19}{15} [/tex] as a mixed number = [tex]1 \frac{4}{15} [/tex]

Final answer = [tex]1 \frac{4}{15} [/tex]

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