Question

Calculate 2\frac{1}{3} - 4\frac{3}{5} + 3\frac{2}{3}. Express your answer as a mixed number.

Answer 1

Answer:

$2\frac{1}{3}-4\frac{3}{5}+3\frac{2}{3}=1\frac{2}{5}\quad$

Step-by-step explanation:

$2\frac{1}{3}-4\frac{3}{5}+3\frac{2}{3}$

$=\frac{7}{3}-4\frac{3}{5}+3\frac{2}{3}$

$=\frac{7}{3}-\frac{23}{5}+3\frac{2}{3}$

$=\frac{7}{3}-\frac{23}{5}+\frac{11}{3}$

$=\frac{18}{3}-\frac{23}{5}$

$=\frac{90}{15}-\frac{69}{15}$

$\mathrm{Apply\:the\:fraction\:rule:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}}$

$=\frac{90-69}{15}$

$\mathrm{Add\:the\:numbers:}\:90-69=21$

$=\frac{21}{15}$

$=\frac{7}{5}$

$=1\frac{2}{5}$