Solve {l}{600*1.15/15*(14*15+700)}{+300*6}

$$\left. \begin{array} { l } { 600 \times 1.15 / 15 \times ( 14 \times 15 + 700 ) } \\ { + 300 \times 6 } \end{array} \right.$$

Evaluate

$$43660$$

Solution Steps

Expand \frac{1.15}{15} by multiplying both numerator and the denominator by 100.

$$600\times \frac{115}{1500}\left(14\times 15+700\right)+300\times 6$$

Reduce the fraction \frac{115}{1500} to lowest terms by extracting and canceling out 5.

$$600\times \frac{23}{300}\left(14\times 15+700\right)+300\times 6$$

Express 600\times \frac{23}{300} as a single fraction.

$$\frac{600\times 23}{300}\left(14\times 15+700\right)+300\times 6$$

Multiply 600 and 23 to get 13800.

$$\frac{13800}{300}\left(14\times 15+700\right)+300\times 6$$

Divide 13800 by 300 to get 46.

$$46\left(14\times 15+700\right)+300\times 6$$

Multiply 14 and 15 to get 210.

$$46\left(210+700\right)+300\times 6$$

Add 210 and 700 to get 910.

$$46\times 910+300\times 6$$

Multiply 46 and 910 to get 41860.

$$41860+300\times 6$$

Multiply 300 and 6 to get 1800.

$$41860+1800$$

Add 41860 and 1800 to get 43660.

$$43660$$

Factor

$$5\times 37\times 59\times 2^{2}$$