(2)/(3)-(2)/(5) - subtraction of fractions

Solution for the given fractions

• 2/3 - 2/5 = ?
• The common denominator of the two fractions is: 15
• 2/3 = (2*5)/(3*5) = 10/15
• 2/5 = (2*3)/(3*5) = 6/15
• Fractions adjusted to a common denominator
• 2/3 - 2/5 = 10/15 - 6/15
• 10/15 - 6/15 = (10-6)/15
• (10-6)/15 = 4/15

Solution for the given fractions

$ \frac{2}{3 }-\frac{ 2}{5 }=? $

The common denominator of the two fractions is: 15

$ \frac{2}{3 }= \frac{(2*5)}{(3*5)} =\frac{ 10}{15} $

$ \frac{2}{5 }= \frac{(2*3)}{(3*5)} =\frac{ 6}{15} $

Fractions adjusted to a common denominator

$ \frac{2}{3 }-\frac{ 2}{5 }=\frac{ 10}{15 }-\frac{ 6}{15} $

$ \frac{10}{15 }-\frac{ 6}{15 }= \frac{(10-6)}{15} $

$ \frac{(10-6)}{15 }=\frac{ 4}{15} $

$ $

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