Evaluate
\frac{9a}{8}-\frac{1}{14}
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\frac{9a}{8}-\frac{1}{14}
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3a-\left(\frac{2}{7}-\left(-\frac{7}{4}a\right)-\frac{3}{14}-\frac{9}{8}a\right)-\frac{5}{4}a
To find the opposite of -\frac{7}{4}a+\frac{3}{14}, find the opposite of each term.
3a-\left(\frac{2}{7}+\frac{7}{4}a-\frac{3}{14}-\frac{9}{8}a\right)-\frac{5}{4}a
The opposite of -\frac{7}{4}a is \frac{7}{4}a.
3a-\left(\frac{4}{14}+\frac{7}{4}a-\frac{3}{14}-\frac{9}{8}a\right)-\frac{5}{4}a
Least common multiple of 7 and 14 is 14. Convert \frac{2}{7} and \frac{3}{14} to fractions with denominator 14.
3a-\left(\frac{4-3}{14}+\frac{7}{4}a-\frac{9}{8}a\right)-\frac{5}{4}a
Since \frac{4}{14} and \frac{3}{14} have the same denominator, subtract them by subtracting their numerators.
3a-\left(\frac{1}{14}+\frac{7}{4}a-\frac{9}{8}a\right)-\frac{5}{4}a
Subtract 3 from 4 to get 1.
3a-\left(\frac{1}{14}+\frac{5}{8}a\right)-\frac{5}{4}a
Combine \frac{7}{4}a and -\frac{9}{8}a to get \frac{5}{8}a.
3a-\frac{1}{14}-\frac{5}{8}a-\frac{5}{4}a
To find the opposite of \frac{1}{14}+\frac{5}{8}a, find the opposite of each term.
\frac{19}{8}a-\frac{1}{14}-\frac{5}{4}a
Combine 3a and -\frac{5}{8}a to get \frac{19}{8}a.
\frac{9}{8}a-\frac{1}{14}
Combine \frac{19}{8}a and -\frac{5}{4}a to get \frac{9}{8}a.
3a-\left(\frac{2}{7}-\left(-\frac{7}{4}a\right)-\frac{3}{14}-\frac{9}{8}a\right)-\frac{5}{4}a
To find the opposite of -\frac{7}{4}a+\frac{3}{14}, find the opposite of each term.
3a-\left(\frac{2}{7}+\frac{7}{4}a-\frac{3}{14}-\frac{9}{8}a\right)-\frac{5}{4}a
The opposite of -\frac{7}{4}a is \frac{7}{4}a.
3a-\left(\frac{4}{14}+\frac{7}{4}a-\frac{3}{14}-\frac{9}{8}a\right)-\frac{5}{4}a
Least common multiple of 7 and 14 is 14. Convert \frac{2}{7} and \frac{3}{14} to fractions with denominator 14.
3a-\left(\frac{4-3}{14}+\frac{7}{4}a-\frac{9}{8}a\right)-\frac{5}{4}a
Since \frac{4}{14} and \frac{3}{14} have the same denominator, subtract them by subtracting their numerators.
3a-\left(\frac{1}{14}+\frac{7}{4}a-\frac{9}{8}a\right)-\frac{5}{4}a
Subtract 3 from 4 to get 1.
3a-\left(\frac{1}{14}+\frac{5}{8}a\right)-\frac{5}{4}a
Combine \frac{7}{4}a and -\frac{9}{8}a to get \frac{5}{8}a.
3a-\frac{1}{14}-\frac{5}{8}a-\frac{5}{4}a
To find the opposite of \frac{1}{14}+\frac{5}{8}a, find the opposite of each term.
\frac{19}{8}a-\frac{1}{14}-\frac{5}{4}a
Combine 3a and -\frac{5}{8}a to get \frac{19}{8}a.
\frac{9}{8}a-\frac{1}{14}
Combine \frac{19}{8}a and -\frac{5}{4}a to get \frac{9}{8}a.
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