Question

Evaluate the expression: $2\frac{1}{3}-3\frac{3}{5}$

• A. $-\left(1\frac{4}{15}\right)$ or $-\frac{19}{15}$
• B. $1\frac{4}{15}$
• C. $\frac{19}{15}$
• D. None of the above

Answer 1

Answer: (A)

$-\left(1\frac{4}{15}\right)$ or $-\frac{19}{15}$

The value of $2\frac{1}{3}$ $-3\frac{3}{5}$

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

$=\frac{6+1}{3}$ $-\frac{15+3}{5}$

$=\frac{7}{3}$ $-\frac{18}{5}$

$=\frac{5\times 7-3\times 18}{3\times 5}$

$=\frac{35-54}{15}$

$=\frac{-19}{15}$

$=-1\frac{4}{15}$