\[\frac{3}{7}-\frac{2}{5}+\frac{1}{14}-\frac{2}{35}\]

1
Find the Least Common Denominator (LCD) of 37,25,114,235\frac{3}{7},\frac{2}{5},\frac{1}{14},\frac{2}{35}. In other words, find the Least Common Multiple (LCM) of 7,5,14,357,5,14,35.
LCD = 7070

2
Make the denominators the same as the LCD.
3×107×102×145×14+1×514×52×235×2\frac{3\times 10}{7\times 10}-\frac{2\times 14}{5\times 14}+\frac{1\times 5}{14\times 5}-\frac{2\times 2}{35\times 2}

3
Simplify. Denominators are now the same.
30702870+570470\frac{30}{70}-\frac{28}{70}+\frac{5}{70}-\frac{4}{70}

4
Join the denominators.
3028+5470\frac{30-28+5-4}{70}

5
Simplify.
370\frac{3}{70}

Done

Decimal Form: 0.042857

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