Solve 4,5-(-3)^3/frac{3{7}}

$$\frac { 4,5 - ( - 3 ) ^ { 3 } } { \frac { 3 } { 7 } }$$

Evaluate

$$73,5$$

Solution Steps

Calculate -3 to the power of 3 and get -27.

$$\frac{4,5-\left(-27\right)}{\frac{3}{7}}$$

The opposite of -27 is 27.

$$\frac{4,5+27}{\frac{3}{7}}$$

Add 4,5 and 27 to get 31,5.

$$\frac{31,5}{\frac{3}{7}}$$

Divide 31,5 by \frac{3}{7} by multiplying 31,5 by the reciprocal of \frac{3}{7}.

$$31,5\times \frac{7}{3}$$

Convert decimal number 31,5 to fraction \frac{315}{10}. Reduce the fraction \frac{315}{10} to lowest terms by extracting and canceling out 5.

$$\frac{63}{2}\times \frac{7}{3}$$

Multiply \frac{63}{2} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{63\times 7}{2\times 3}$$

Do the multiplications in the fraction \frac{63\times 7}{2\times 3}.

$$\frac{441}{6}$$

Reduce the fraction \frac{441}{6} to lowest terms by extracting and canceling out 3.

$$\frac{147}{2}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{2} = 73\frac{1}{2} = 73.5$$