Simplify: 4 3 5 -2 7 9 -1 2 15 -2 45 - Vidyadip

Question

Simplify:
$4 \frac{3}{5}-2 \frac{7}{9}-1 \frac{2}{15}-\frac{2}{45}$

✓

Answer

$4 \frac{3}{5}-2 \frac{7}{9}-1 \frac{2}{15}-\frac{2}{45} $
$=\frac{23}{5}-\frac{25}{9}-\frac{17}{15}-\frac{2}{45} $
$=\frac{23 \times 9}{5 \times 9}-\frac{25 \times 5}{9 \times 5}-\frac{17 \times 3}{15 \times 3}-\frac{2 \times 1}{45 \times 1} $
$=\frac{207}{45}-\frac{125}{45}-\frac{51}{45}-\frac{2}{45} $
$=\frac{207-125-51-2}{45} $
$=\frac{207-178}{45}=\frac{29}{45}$

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