Evaluate
\frac{34a}{15}-\frac{7b}{6}
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\frac{34a}{15}-\frac{7b}{6}
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\frac{8}{3}a-\left(\frac{1}{2}b-\frac{3}{5}a-\left(-b\right)-\left(-\frac{1}{3}b-\left(a-\frac{2}{3}b\right)\right)\right)
To find the opposite of \frac{3}{5}a-b, find the opposite of each term.
\frac{8}{3}a-\left(\frac{1}{2}b-\frac{3}{5}a+b-\left(-\frac{1}{3}b-\left(a-\frac{2}{3}b\right)\right)\right)
The opposite of -b is b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(-\frac{1}{3}b-\left(a-\frac{2}{3}b\right)\right)\right)
Combine \frac{1}{2}b and b to get \frac{3}{2}b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(-\frac{1}{3}b-a-\left(-\frac{2}{3}b\right)\right)\right)
To find the opposite of a-\frac{2}{3}b, find the opposite of each term.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(-\frac{1}{3}b-a+\frac{2}{3}b\right)\right)
The opposite of -\frac{2}{3}b is \frac{2}{3}b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(\frac{1}{3}b-a\right)\right)
Combine -\frac{1}{3}b and \frac{2}{3}b to get \frac{1}{3}b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\frac{1}{3}b-\left(-a\right)\right)
To find the opposite of \frac{1}{3}b-a, find the opposite of each term.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\frac{1}{3}b+a\right)
The opposite of -a is a.
\frac{8}{3}a-\left(\frac{7}{6}b-\frac{3}{5}a+a\right)
Combine \frac{3}{2}b and -\frac{1}{3}b to get \frac{7}{6}b.
\frac{8}{3}a-\left(\frac{7}{6}b+\frac{2}{5}a\right)
Combine -\frac{3}{5}a and a to get \frac{2}{5}a.
\frac{8}{3}a-\frac{7}{6}b-\frac{2}{5}a
To find the opposite of \frac{7}{6}b+\frac{2}{5}a, find the opposite of each term.
\frac{34}{15}a-\frac{7}{6}b
Combine \frac{8}{3}a and -\frac{2}{5}a to get \frac{34}{15}a.
\frac{8}{3}a-\left(\frac{1}{2}b-\frac{3}{5}a-\left(-b\right)-\left(-\frac{1}{3}b-\left(a-\frac{2}{3}b\right)\right)\right)
To find the opposite of \frac{3}{5}a-b, find the opposite of each term.
\frac{8}{3}a-\left(\frac{1}{2}b-\frac{3}{5}a+b-\left(-\frac{1}{3}b-\left(a-\frac{2}{3}b\right)\right)\right)
The opposite of -b is b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(-\frac{1}{3}b-\left(a-\frac{2}{3}b\right)\right)\right)
Combine \frac{1}{2}b and b to get \frac{3}{2}b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(-\frac{1}{3}b-a-\left(-\frac{2}{3}b\right)\right)\right)
To find the opposite of a-\frac{2}{3}b, find the opposite of each term.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(-\frac{1}{3}b-a+\frac{2}{3}b\right)\right)
The opposite of -\frac{2}{3}b is \frac{2}{3}b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\left(\frac{1}{3}b-a\right)\right)
Combine -\frac{1}{3}b and \frac{2}{3}b to get \frac{1}{3}b.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\frac{1}{3}b-\left(-a\right)\right)
To find the opposite of \frac{1}{3}b-a, find the opposite of each term.
\frac{8}{3}a-\left(\frac{3}{2}b-\frac{3}{5}a-\frac{1}{3}b+a\right)
The opposite of -a is a.
\frac{8}{3}a-\left(\frac{7}{6}b-\frac{3}{5}a+a\right)
Combine \frac{3}{2}b and -\frac{1}{3}b to get \frac{7}{6}b.
\frac{8}{3}a-\left(\frac{7}{6}b+\frac{2}{5}a\right)
Combine -\frac{3}{5}a and a to get \frac{2}{5}a.
\frac{8}{3}a-\frac{7}{6}b-\frac{2}{5}a
To find the opposite of \frac{7}{6}b+\frac{2}{5}a, find the opposite of each term.
\frac{34}{15}a-\frac{7}{6}b
Combine \frac{8}{3}a and -\frac{2}{5}a to get \frac{34}{15}a.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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