Solve i+43/5:-27+(-32)+(-8)+72

$$i + \frac { 43 } { 5 } : - 27 + ( - 32 ) + ( - 8 ) + 72$$

Evaluate

$$\frac{4277}{135}+i\approx 31.681481481+i$$

Solution Steps

Combine the real and imaginary parts.

$$\frac{\frac{43}{5}}{-27}-32-8+72+i$$

Do the additions.

$$\frac{\frac{43}{5}}{-27}+32+i$$

Express \frac{\frac{43}{5}}{-27} as a single fraction.

$$\frac{43}{5\left(-27\right)}+32+i$$

Multiply 5 and -27 to get -135.

$$\frac{43}{-135}+32+i$$

Fraction \frac{43}{-135} can be rewritten as -\frac{43}{135} by extracting the negative sign.

$$-\frac{43}{135}+32+i$$

Add -\frac{43}{135} to 32.

$$\frac{4277}{135}+i$$

Real Part

$$\frac{4277}{135} = 31\frac{92}{135} = 31.68148148148148$$

Solution Steps

Combine the real and imaginary parts in i-32-8+72.

$$Re(\frac{\frac{43}{5}}{-27}-32-8+72+i)$$

Do the additions in -32-8+72+i.

$$Re(\frac{\frac{43}{5}}{-27}+32+i)$$

Express \frac{\frac{43}{5}}{-27} as a single fraction.

$$Re(\frac{43}{5\left(-27\right)}+32+i)$$

Multiply 5 and -27 to get -135.

$$Re(\frac{43}{-135}+32+i)$$

Fraction \frac{43}{-135} can be rewritten as -\frac{43}{135} by extracting the negative sign.

$$Re(-\frac{43}{135}+32+i)$$

Add -\frac{43}{135} to 32.

$$Re(\frac{4277}{135}+i)$$

The real part of \frac{4277}{135}+i is \frac{4277}{135}.

$$\frac{4277}{135}$$