Evaluate
4.242784
Factor
\frac{7 \cdot 13 \cdot 31 \cdot 47}{2 \cdot 5 ^ {6}} = 4\frac{7587}{31250} = 4.242784
Quiz
Arithmetic
5 problems similar to:
80.6 \times 2350 \times 0.036 \div 60 \div 60 \times 1.12 \times 2
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\frac{80.6\times 2350\times 0.036}{60\times 60}\times 1.12\times 2
Express \frac{\frac{80.6\times 2350\times 0.036}{60}}{60} as a single fraction.
\frac{0.036\times 47\times 80.6}{6\times 12}\times 1.12\times 2
Cancel out 5\times 10 in both numerator and denominator.
\frac{1.692\times 80.6}{6\times 12}\times 1.12\times 2
Multiply 0.036 and 47 to get 1.692.
\frac{136.3752}{6\times 12}\times 1.12\times 2
Multiply 1.692 and 80.6 to get 136.3752.
\frac{136.3752}{72}\times 1.12\times 2
Multiply 6 and 12 to get 72.
\frac{1363752}{720000}\times 1.12\times 2
Expand \frac{136.3752}{72} by multiplying both numerator and the denominator by 10000.
\frac{18941}{10000}\times 1.12\times 2
Reduce the fraction \frac{1363752}{720000} to lowest terms by extracting and canceling out 72.
\frac{18941}{10000}\times \frac{28}{25}\times 2
Convert decimal number 1.12 to fraction \frac{112}{100}. Reduce the fraction \frac{112}{100} to lowest terms by extracting and canceling out 4.
\frac{18941\times 28}{10000\times 25}\times 2
Multiply \frac{18941}{10000} times \frac{28}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{530348}{250000}\times 2
Do the multiplications in the fraction \frac{18941\times 28}{10000\times 25}.
\frac{132587}{62500}\times 2
Reduce the fraction \frac{530348}{250000} to lowest terms by extracting and canceling out 4.
\frac{132587\times 2}{62500}
Express \frac{132587}{62500}\times 2 as a single fraction.
\frac{265174}{62500}
Multiply 132587 and 2 to get 265174.
\frac{132587}{31250}
Reduce the fraction \frac{265174}{62500} to lowest terms by extracting and canceling out 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}