(1)/(6)+(-3)/(4) - addition of fractions

Solution for the given fractions

• 1/6 + -3/4 = ?
• The common denominator of the two fractions is: 12
• 1/6 = (1*2)/(2*6) = 2/12
• -3/4 = (-3*3)/(3*4) = -9/12
• Fractions adjusted to a common denominator
• 1/6 + -3/4 = 2/12 + -9/12
• 2/12 + -9/12 = (2-9)/12
• (2-9)/12 = -7/12

Solution for the given fractions

$ \frac{1}{6 }+ -\frac{3}{4 }=? $

The common denominator of the two fractions is: 12

$ \frac{1}{6 }= \frac{(1*2)}{(2*6)} =\frac{ 2}{12} $

$ -\frac{3}{4 }= \frac{(-3*3)}{(3*4)} = -\frac{9}{12} $

Fractions adjusted to a common denominator

$ \frac{1}{6 }+ -\frac{3}{4 }=\frac{ 2}{12 }+ -\frac{9}{12} $

$ \frac{2}{12 }+ -\frac{9}{12 }= \frac{(2-9)}{12} $

$ \frac{(2-9)}{12 }= -\frac{7}{12} $

$ $

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