Solve 25*2/30+75*18/30+125*8/30+175*2/30=

$$25 \times \frac{ 2 }{ 30 } +75 \times \frac{ 18 }{ 30 } +125 \times \frac{ 8 }{ 30 } +175 \times \frac{ 2 }{ 30 } =$$

Evaluate

$$\frac{275}{3}\approx 91.666666667$$

Solution Steps

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$25\times \frac{1}{15}+75\times \frac{18}{30}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Multiply 25 and \frac{1}{15} to get \frac{25}{15}.

$$\frac{25}{15}+75\times \frac{18}{30}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.

$$\frac{5}{3}+75\times \frac{18}{30}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{5}{3}+75\times \frac{3}{5}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Express 75\times \frac{3}{5} as a single fraction.

$$\frac{5}{3}+\frac{75\times 3}{5}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Multiply 75 and 3 to get 225.

$$\frac{5}{3}+\frac{225}{5}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Divide 225 by 5 to get 45.

$$\frac{5}{3}+45+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Convert 45 to fraction \frac{135}{3}.

$$\frac{5}{3}+\frac{135}{3}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Since \frac{5}{3} and \frac{135}{3} have the same denominator, add them by adding their numerators.

$$\frac{5+135}{3}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Add 5 and 135 to get 140.

$$\frac{140}{3}+125\times \frac{8}{30}+175\times \frac{2}{30}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{140}{3}+125\times \frac{4}{15}+175\times \frac{2}{30}$$

Express 125\times \frac{4}{15} as a single fraction.

$$\frac{140}{3}+\frac{125\times 4}{15}+175\times \frac{2}{30}$$

Multiply 125 and 4 to get 500.

$$\frac{140}{3}+\frac{500}{15}+175\times \frac{2}{30}$$

Reduce the fraction \frac{500}{15} to lowest terms by extracting and canceling out 5.

$$\frac{140}{3}+\frac{100}{3}+175\times \frac{2}{30}$$

Since \frac{140}{3} and \frac{100}{3} have the same denominator, add them by adding their numerators.

$$\frac{140+100}{3}+175\times \frac{2}{30}$$

Add 140 and 100 to get 240.

$$\frac{240}{3}+175\times \frac{2}{30}$$

Divide 240 by 3 to get 80.

$$80+175\times \frac{2}{30}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$80+175\times \frac{1}{15}$$

Multiply 175 and \frac{1}{15} to get \frac{175}{15}.

$$80+\frac{175}{15}$$

Reduce the fraction \frac{175}{15} to lowest terms by extracting and canceling out 5.

$$80+\frac{35}{3}$$

Convert 80 to fraction \frac{240}{3}.

$$\frac{240}{3}+\frac{35}{3}$$

Since \frac{240}{3} and \frac{35}{3} have the same denominator, add them by adding their numerators.

$$\frac{240+35}{3}$$

Add 240 and 35 to get 275.

$$\frac{275}{3}$$

Factor

$$\frac{5 ^ {2} \cdot 11}{3} = 91\frac{2}{3} = 91.66666666666667$$