Solve 18530*(1+0.01*30div365)-18540=

$$18530 \times (1+0.01 \times 30 \div 365)-18540=$$

Evaluate

$$\frac{1909}{365}\approx 5.230136986$$

Solution Steps

Multiply 0.01 and 30 to get 0.3.

$$18530\left(1+\frac{0.3}{365}\right)-18540$$

Expand \frac{0.3}{365} by multiplying both numerator and the denominator by 10.

$$18530\left(1+\frac{3}{3650}\right)-18540$$

Convert 1 to fraction \frac{3650}{3650}.

$$18530\left(\frac{3650}{3650}+\frac{3}{3650}\right)-18540$$

Since \frac{3650}{3650} and \frac{3}{3650} have the same denominator, add them by adding their numerators.

$$18530\times \frac{3650+3}{3650}-18540$$

Add 3650 and 3 to get 3653.

$$18530\times \frac{3653}{3650}-18540$$

Express 18530\times \frac{3653}{3650} as a single fraction.

$$\frac{18530\times 3653}{3650}-18540$$

Multiply 18530 and 3653 to get 67690090.

$$\frac{67690090}{3650}-18540$$

Reduce the fraction \frac{67690090}{3650} to lowest terms by extracting and canceling out 10.

$$\frac{6769009}{365}-18540$$

Convert 18540 to fraction \frac{6767100}{365}.

$$\frac{6769009}{365}-\frac{6767100}{365}$$

Since \frac{6769009}{365} and \frac{6767100}{365} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6769009-6767100}{365}$$

Subtract 6767100 from 6769009 to get 1909.

$$\frac{1909}{365}$$

Factor

$$\frac{23 \cdot 83}{5 \cdot 73} = 5\frac{84}{365} = 5.23013698630137$$