Solve (40000-4650)div0.91*0.09+4650*0.09=

$$(40000-4650) \div 0.91 \times 0.09+4650 \times 0.09=$$

Evaluate

$$\frac{101781}{26}\approx 3914.653846154$$

Solution Steps

Subtract 4650 from 40000 to get 35350.

$$\frac{35350}{0.91}\times 0.09+4650\times 0.09$$

Expand \frac{35350}{0.91} by multiplying both numerator and the denominator by 100.

$$\frac{3535000}{91}\times 0.09+4650\times 0.09$$

Reduce the fraction \frac{3535000}{91} to lowest terms by extracting and canceling out 7.

$$\frac{505000}{13}\times 0.09+4650\times 0.09$$

Convert decimal number 0.09 to fraction \frac{9}{100}.

$$\frac{505000}{13}\times \frac{9}{100}+4650\times 0.09$$

Multiply \frac{505000}{13} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{505000\times 9}{13\times 100}+4650\times 0.09$$

Do the multiplications in the fraction \frac{505000\times 9}{13\times 100}.

$$\frac{4545000}{1300}+4650\times 0.09$$

Reduce the fraction \frac{4545000}{1300} to lowest terms by extracting and canceling out 100.

$$\frac{45450}{13}+4650\times 0.09$$

Multiply 4650 and 0.09 to get 418.5.

$$\frac{45450}{13}+418.5$$

Convert decimal number 418.5 to fraction \frac{4185}{10}. Reduce the fraction \frac{4185}{10} to lowest terms by extracting and canceling out 5.

$$\frac{45450}{13}+\frac{837}{2}$$

Least common multiple of 13 and 2 is 26. Convert \frac{45450}{13} and \frac{837}{2} to fractions with denominator 26.

$$\frac{90900}{26}+\frac{10881}{26}$$

Since \frac{90900}{26} and \frac{10881}{26} have the same denominator, add them by adding their numerators.

$$\frac{90900+10881}{26}$$

Add 90900 and 10881 to get 101781.

$$\frac{101781}{26}$$

Factor

$$\frac{43 \cdot 263 \cdot 3 ^ {2}}{2 \cdot 13} = 3914\frac{17}{26} = 3914.653846153846$$