32 \div 8 + 45 \times 12.5 \% + 43 \times \frac { 1 } { 8 }
Evaluate
15
Factor
3\times 5
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4+45\times \frac{12.5}{100}+43\times \frac{1}{8}
Divide 32 by 8 to get 4.
4+45\times \frac{125}{1000}+43\times \frac{1}{8}
Expand \frac{12.5}{100} by multiplying both numerator and the denominator by 10.
4+45\times \frac{1}{8}+43\times \frac{1}{8}
Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.
4+\frac{45}{8}+43\times \frac{1}{8}
Multiply 45 and \frac{1}{8} to get \frac{45}{8}.
\frac{32}{8}+\frac{45}{8}+43\times \frac{1}{8}
Convert 4 to fraction \frac{32}{8}.
\frac{32+45}{8}+43\times \frac{1}{8}
Since \frac{32}{8} and \frac{45}{8} have the same denominator, add them by adding their numerators.
\frac{77}{8}+43\times \frac{1}{8}
Add 32 and 45 to get 77.
\frac{77}{8}+\frac{43}{8}
Multiply 43 and \frac{1}{8} to get \frac{43}{8}.
\frac{77+43}{8}
Since \frac{77}{8} and \frac{43}{8} have the same denominator, add them by adding their numerators.
\frac{120}{8}
Add 77 and 43 to get 120.
15
Divide 120 by 8 to get 15.
Examples
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y = 3x + 4
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}