Solve 8/5/frac{2{25}-5/16} | Microsoft Math Solver

Evaluate

- \frac{6 4 0}{9 3} \approx - 6.88172043

Solution Steps

\frac{\frac{8}{5}}{\frac{2}{2 5} - \frac{5}{1 6}}

Least common multiple of

25

and

16

400

. Convert

\frac{2}{2 5}

and

\frac{5}{1 6}

to fractions with denominator

400

\frac{\frac{8}{5}}{\frac{3 2}{4 0 0} - \frac{1 2 5}{4 0 0}}

Since

\frac{3 2}{4 0 0}

and

\frac{1 2 5}{4 0 0}

have the same denominator, subtract them by subtracting their numerators.

\frac{\frac{8}{5}}{\frac{3 2 - 1 2 5}{4 0 0}}

Subtract

125

from

32

to get

- 93

\frac{\frac{8}{5}}{- \frac{9 3}{4 0 0}}

Divide

\frac{8}{5}

- \frac{9 3}{4 0 0}

by multiplying

\frac{8}{5}

by the reciprocal of

- \frac{9 3}{4 0 0}

\frac{8}{5} (- \frac{4 0 0}{9 3})

Multiply

\frac{8}{5}

times

- \frac{4 0 0}{9 3}

by multiplying numerator times numerator and denominator times denominator.

\frac{8 ( - 4 0 0 )}{5 \times 9 3}

Do the multiplications in the fraction

\frac{8 ( - 4 0 0 )}{5 \times 9 3}

\frac{- 3 2 0 0}{4 6 5}

Reduce the fraction

\frac{- 3 2 0 0}{4 6 5}

to lowest terms by extracting and canceling out

5

- \frac{6 4 0}{9 3}

Factor

\frac{( - 1 ) \cdot 2 ^{7} \cdot 5}{3 \cdot 3 1} \approx - 6.88172043

Quiz

Arithmetic

5 problems similar to:

\frac{\frac{8}{5}}{\frac{2}{2 5} - \frac{5}{1 6}}

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\frac{\frac{8}{5}}{\frac{32}{400}-\frac{125}{400}}

Least common multiple of 25 and 16 is 400. Convert \frac{2}{25} and \frac{5}{16} to fractions with denominator 400.

\frac{\frac{8}{5}}{\frac{32-125}{400}}

Since \frac{32}{400} and \frac{125}{400} have the same denominator, subtract them by subtracting their numerators.

\frac{\frac{8}{5}}{-\frac{93}{400}}

Subtract 125 from 32 to get -93.

\frac{8}{5}\left(-\frac{400}{93}\right)

Divide \frac{8}{5} by -\frac{93}{400} by multiplying \frac{8}{5} by the reciprocal of -\frac{93}{400}.

\frac{8\left(-400\right)}{5\times 93}

Multiply \frac{8}{5} times -\frac{400}{93} by multiplying numerator times numerator and denominator times denominator.

\frac{-3200}{465}

Do the multiplications in the fraction \frac{8\left(-400\right)}{5\times 93}.

-\frac{640}{93}

Reduce the fraction \frac{-3200}{465} to lowest terms by extracting and canceling out 5.

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699 * 533

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[2534] [2 - 1 0135]

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\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

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x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}

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