How do you simplify 5 2/3- 1 4/5?

Nov 8, 2016

$\frac{58}{15}$ or $3 \frac{13}{15}$

Explanation:

First convert these to fractions:

$\left(\frac{3 \cdot 5}{3} + \frac{2}{3}\right) - \left(\frac{5 \cdot 1}{5} + \frac{4}{5}\right) \implies$

$\frac{15 + 2}{3} - \frac{5 + 4}{5} \implies$

$\frac{17}{3} - \frac{9}{5}$

Next get each fraction over a common denominator:

$\left(\frac{5}{5}\right) \left(\frac{17}{3}\right) - \left(\frac{3}{3}\right) \left(\frac{9}{5}\right) \implies$

$\frac{85}{15} - \frac{27}{15} \implies$

$\frac{58}{15}$ or $3 \frac{13}{15}$