Evaluate
\frac{3m}{10}-\frac{3}{50}
Factor
\frac{3\left(5m-1\right)}{50}
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\frac{3m}{10}-\frac{3}{50}
Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.
\frac{5\times 3m}{50}-\frac{3}{50}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 50 is 50. Multiply \frac{3m}{10} times \frac{5}{5}.
\frac{5\times 3m-3}{50}
Since \frac{5\times 3m}{50} and \frac{3}{50} have the same denominator, subtract them by subtracting their numerators.
\frac{15m-3}{50}
Do the multiplications in 5\times 3m-3.
\frac{3\left(5m-1\right)}{50}
Factor out \frac{3}{50}.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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