Solve 4^-1+3.2^-3:5/8-0,4

$$4 ^ { - 1 } + 3.2 ^ { - 3 } : \frac { 5 } { 8 } - 0,4$$

Sort

$$0.298828125,4$$

Solution Steps

Calculate 4 to the power of -1 and get \frac{1}{4}.

$$sort(\frac{1}{4}+\frac{3.2^{-3}}{\frac{5}{8}}-0,4)$$

Calculate 3.2 to the power of -3 and get 0.030517578125.

$$sort(\frac{1}{4}+\frac{0.030517578125}{\frac{5}{8}}-0,4)$$

Divide 0.030517578125 by \frac{5}{8} by multiplying 0.030517578125 by the reciprocal of \frac{5}{8}.

$$sort(\frac{1}{4}+0.030517578125\times \frac{8}{5}-0,4)$$

Multiply 0.030517578125 and \frac{8}{5} to get \frac{25}{512}.

$$sort(\frac{1}{4}+\frac{25}{512}-0,4)$$

Add \frac{1}{4} and \frac{25}{512} to get \frac{153}{512}.

$$sort(\frac{153}{512}-0,4)$$

Subtract 0 from \frac{153}{512} to get \frac{153}{512}.

$$sort(\frac{153}{512},4)$$

Convert decimal numbers in the list \frac{153}{512},4 to fractions.

$$\frac{153}{512},4$$

Evaluate

$$0.298828125,4$$