Answer: 45/4
Step-by-step explanation:
Exponential function: exp() = e = 1
Multiple: i * 2
3
= 0.66666667i
Multiple: the result of step No. 2 * 1
2
= 0.66666667i * 1
2
= 0.33333333i
Add: the result of step No. 1 + the result of step No. 3 = 1 + 0.33333333i = 1+0.33333333i
Real part of the complex number: Re(the result of step No. 4) = Re(1+0.33333333i) = 1
Add: 8 + 13
4
= 8
1
+ 13
4
= 8 · 4
1 · 4
+ 13
4
= 32
4
+ 13
4
= 32 + 13
4
= 45
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 4 = 4. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - eight plus thirteen quarters = forty-five quarters.
Multiple: the result of step No. 5 * the result of step No. 6 = 1 * 11.25 = 1 · 45
1 · 4
= 45
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(45, 4) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one multiplied by forty-five quarters = forty-five quarters.
45
4
is already in the simplest form. It can be written as 11.25 in decimal form (rounded to 6 decimal places).
