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Perform the fraction operation below by hand. You must show your work for full credit. Give the answer in fractional form reduced to lowest terms.4/3+2/5

Sagot :

Given:

[tex]\frac{4}{3}+\frac{2}{5}[/tex]

The lowest common factor of the denominators, 3 and 5 is 15.

So

[tex]\begin{gathered} \frac{4\times5}{15}\text{ +}\frac{2\times3}{15} \\ =\frac{20}{15}+\frac{6}{15} \\ =\text{ }\frac{26}{15} \\ =1\frac{11}{15} \end{gathered}[/tex]

Therefore,

[tex]\frac{4}{3}+\frac{2}{5}\text{ = }\frac{26}{15}\text{ OR 1}\frac{11}{15}[/tex]

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