3.5 \div 1.75+60 \% - \frac{ 5 }{ 2 }
Evaluate
0.1
Factor
\frac{1}{2 \cdot 5} = 0.1
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\frac{350}{175}+\frac{60}{100}-\frac{5}{2}
Expand \frac{3.5}{1.75} by multiplying both numerator and the denominator by 100.
2+\frac{60}{100}-\frac{5}{2}
Divide 350 by 175 to get 2.
2+\frac{3}{5}-\frac{5}{2}
Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.
\frac{10}{5}+\frac{3}{5}-\frac{5}{2}
Convert 2 to fraction \frac{10}{5}.
\frac{10+3}{5}-\frac{5}{2}
Since \frac{10}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.
\frac{13}{5}-\frac{5}{2}
Add 10 and 3 to get 13.
\frac{26}{10}-\frac{25}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{13}{5} and \frac{5}{2} to fractions with denominator 10.
\frac{26-25}{10}
Since \frac{26}{10} and \frac{25}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{10}
Subtract 25 from 26 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}