Solve i+3/5:-4-(+7)-(-15)

$$i + \frac { 3 } { 5 } : - 4 - ( + 7 ) - ( - 15 )$$

Evaluate

$$\frac{157}{20}+i=7.85+i$$

Solution Steps

Express \frac{\frac{3}{5}}{-4} as a single fraction.

$$i+\frac{3}{5\left(-4\right)}-7-\left(-15\right)$$

Multiply 5 and -4 to get -20.

$$i+\frac{3}{-20}-7-\left(-15\right)$$

Fraction \frac{3}{-20} can be rewritten as -\frac{3}{20} by extracting the negative sign.

$$i-\frac{3}{20}-7-\left(-15\right)$$

Combine the real and imaginary parts in i-\frac{3}{20}-7.

$$-\frac{3}{20}-7+i-\left(-15\right)$$

Add -\frac{3}{20} to -7.

$$-\frac{143}{20}+i-\left(-15\right)$$

The opposite of -15 is 15.

$$-\frac{143}{20}+i+15$$

Combine the real and imaginary parts in numbers -\frac{143}{20}+i and 15.

$$-\frac{143}{20}+15+i$$

Add -\frac{143}{20} to 15.

$$\frac{157}{20}+i$$

Real Part

$$\frac{157}{20} = 7\frac{17}{20} = 7.85$$

Solution Steps

Express \frac{\frac{3}{5}}{-4} as a single fraction.

$$Re(i+\frac{3}{5\left(-4\right)}-7-\left(-15\right))$$

Multiply 5 and -4 to get -20.

$$Re(i+\frac{3}{-20}-7-\left(-15\right))$$

Fraction \frac{3}{-20} can be rewritten as -\frac{3}{20} by extracting the negative sign.

$$Re(i-\frac{3}{20}-7-\left(-15\right))$$

Combine the real and imaginary parts in i-\frac{3}{20}-7.

$$Re(-\frac{3}{20}-7+i-\left(-15\right))$$

Add -\frac{3}{20} to -7.

$$Re(-\frac{143}{20}+i-\left(-15\right))$$

The opposite of -15 is 15.

$$Re(-\frac{143}{20}+i+15)$$

Combine the real and imaginary parts in numbers -\frac{143}{20}+i and 15.

$$Re(-\frac{143}{20}+15+i)$$

Add -\frac{143}{20} to 15.

$$Re(\frac{157}{20}+i)$$

The real part of \frac{157}{20}+i is \frac{157}{20}.

$$\frac{157}{20}$$