Solve 1850*6/25+2000*1/3+2050*2/25+1/25*2100=

$$1850 \times \frac { 6 } { 25 } + 2000 \times \frac { 1 } { 3 } + 2050 \times \frac { 2 } { 25 } + \frac { 1 } { 25 } \times 2100 =$$

Evaluate

$$\frac{4076}{3}\approx 1358.666666667$$

Solution Steps

Express 1850\times \frac{6}{25} as a single fraction.

$$\frac{1850\times 6}{25}+2000\times \frac{1}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Multiply 1850 and 6 to get 11100.

$$\frac{11100}{25}+2000\times \frac{1}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Divide 11100 by 25 to get 444.

$$444+2000\times \frac{1}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Multiply 2000 and \frac{1}{3} to get \frac{2000}{3}.

$$444+\frac{2000}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Convert 444 to fraction \frac{1332}{3}.

$$\frac{1332}{3}+\frac{2000}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Since \frac{1332}{3} and \frac{2000}{3} have the same denominator, add them by adding their numerators.

$$\frac{1332+2000}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Add 1332 and 2000 to get 3332.

$$\frac{3332}{3}+2050\times \frac{2}{25}+\frac{1}{25}\times 2100$$

Express 2050\times \frac{2}{25} as a single fraction.

$$\frac{3332}{3}+\frac{2050\times 2}{25}+\frac{1}{25}\times 2100$$

Multiply 2050 and 2 to get 4100.

$$\frac{3332}{3}+\frac{4100}{25}+\frac{1}{25}\times 2100$$

Divide 4100 by 25 to get 164.

$$\frac{3332}{3}+164+\frac{1}{25}\times 2100$$

Convert 164 to fraction \frac{492}{3}.

$$\frac{3332}{3}+\frac{492}{3}+\frac{1}{25}\times 2100$$

Since \frac{3332}{3} and \frac{492}{3} have the same denominator, add them by adding their numerators.

$$\frac{3332+492}{3}+\frac{1}{25}\times 2100$$

Add 3332 and 492 to get 3824.

$$\frac{3824}{3}+\frac{1}{25}\times 2100$$

Multiply \frac{1}{25} and 2100 to get \frac{2100}{25}.

$$\frac{3824}{3}+\frac{2100}{25}$$

Divide 2100 by 25 to get 84.

$$\frac{3824}{3}+84$$

Convert 84 to fraction \frac{252}{3}.

$$\frac{3824}{3}+\frac{252}{3}$$

Since \frac{3824}{3} and \frac{252}{3} have the same denominator, add them by adding their numerators.

$$\frac{3824+252}{3}$$

Add 3824 and 252 to get 4076.

$$\frac{4076}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 1019}{3} = 1358\frac{2}{3} = 1358.6666666666667$$