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Solution Steps
Least common multiple of and is . Convert and to fractions with denominator .
Since and have the same denominator, subtract them by subtracting their numerators.
Subtract from to get .
Multiply and to get .
Add and to get .
Since and have the same denominator, subtract them by subtracting their numerators.
Subtract from to get .
Reduce the fraction to lowest terms by extracting and canceling out .
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\frac{3}{6}-\frac{4}{6}-\frac{1\times 6+1}{6}\approx -1.333333333
Least common multiple of 2 and 3 is 6. Convert \frac{1}{2}=0.5 and \frac{2}{3}\approx 0.666666667 to fractions with denominator 6.
\frac{3-4}{6}-\frac{1\times 6+1}{6}\approx -1.333333333
Since \frac{3}{6}=0.5 and \frac{4}{6}\approx 0.666666667 have the same denominator, subtract them by subtracting their numerators.
-\frac{1}{6}-\frac{1\times 6+1}{6}\approx -1.333333333
Subtract 4 from 3 to get -1.
-\frac{1}{6}-\frac{6+1}{6}\approx -1.333333333
Multiply 1 and 6 to get 6.
-\frac{1}{6}-\frac{7}{6}\approx -1.333333333
Add 6 and 1 to get 7.
\frac{-1-7}{6}\approx -1.333333333
Since -\frac{1}{6}\approx -0.166666667 and \frac{7}{6}\approx 1.166666667 have the same denominator, subtract them by subtracting their numerators.
\frac{-8}{6}\approx -1.333333333
Subtract 7 from -1 to get -8.
-\frac{4}{3}\approx -1.333333333
Reduce the fraction \frac{-8}{6}\approx -1.333333333 to lowest terms by extracting and canceling out 2.
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