Question
Reduce to a single fraction:
$\frac{2}{3}-\frac{3}{5}+3-\frac{1}{5}$
$\frac{2}{3}-\frac{3}{5}+3-\frac{1}{5}$
✓
Answer
$\begin{aligned} & \frac{2}{3}-\frac{3}{5}+3-\frac{1}{5} \\ & \left.=\frac{2 \times 5}{3 \times 5}-\frac{3 \times 3}{5 \times 3}+\frac{3 \times 15}{15}-\frac{1 \times 3}{5 \times 3} \quad \text { (LCM of } 3 \text { and } 5=15\right.) \\ & =\frac{10}{15}-\frac{9}{15}+\frac{45}{15}-\frac{3}{15} \\ & =\frac{10-9+45-3}{15}=\frac{55-12}{15} \\ & =\frac{43}{15}=2 \frac{13}{15}\end{aligned}$
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