Evaluate
\frac{3u}{4}+\frac{5v}{3}
Factor
\frac{9u+20v}{12}
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\frac{3\times 3u}{12}+\frac{4\times 5v}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{3u}{4} times \frac{3}{3}. Multiply \frac{5v}{3} times \frac{4}{4}.
\frac{3\times 3u+4\times 5v}{12}
Since \frac{3\times 3u}{12} and \frac{4\times 5v}{12} have the same denominator, add them by adding their numerators.
\frac{9u+20v}{12}
Do the multiplications in 3\times 3u+4\times 5v.
\frac{9u+20v}{12}
Factor out \frac{1}{12}.
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y = 3x + 4
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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