Evaluate
\frac{10c+21}{18a}
Factor
\frac{10c+21}{18a}
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\frac{c\times 5}{9a}+\frac{7}{6a}
Express c\times \frac{5}{9a} as a single fraction.
\frac{2c\times 5}{18a}+\frac{7\times 3}{18a}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 9a and 6a is 18a. Multiply \frac{c\times 5}{9a} times \frac{2}{2}. Multiply \frac{7}{6a} times \frac{3}{3}.
\frac{2c\times 5+7\times 3}{18a}
Since \frac{2c\times 5}{18a} and \frac{7\times 3}{18a} have the same denominator, add them by adding their numerators.
\frac{10c+21}{18a}
Do the multiplications in 2c\times 5+7\times 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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