Solve 315/4*125+1250*217/4+268/4*12500

$$\frac { 315 } { 4 } \times 125 + 1250 \times \frac { 217 } { 4 } + \frac { 268 } { 4 } \times 12500$$

Evaluate

$$\frac{3660625}{4}=915156.25$$

Solution Steps

Express \frac{315}{4}\times 125 as a single fraction.

$$\frac{315\times 125}{4}+1250\times \frac{217}{4}+\frac{268}{4}\times 12500$$

Multiply 315 and 125 to get 39375.

$$\frac{39375}{4}+1250\times \frac{217}{4}+\frac{268}{4}\times 12500$$

Express 1250\times \frac{217}{4} as a single fraction.

$$\frac{39375}{4}+\frac{1250\times 217}{4}+\frac{268}{4}\times 12500$$

Multiply 1250 and 217 to get 271250.

$$\frac{39375}{4}+\frac{271250}{4}+\frac{268}{4}\times 12500$$

Since \frac{39375}{4} and \frac{271250}{4} have the same denominator, add them by adding their numerators.

$$\frac{39375+271250}{4}+\frac{268}{4}\times 12500$$

Add 39375 and 271250 to get 310625.

$$\frac{310625}{4}+\frac{268}{4}\times 12500$$

Divide 268 by 4 to get 67.

$$\frac{310625}{4}+67\times 12500$$

Multiply 67 and 12500 to get 837500.

$$\frac{310625}{4}+837500$$

Convert 837500 to fraction \frac{3350000}{4}.

$$\frac{310625}{4}+\frac{3350000}{4}$$

Since \frac{310625}{4} and \frac{3350000}{4} have the same denominator, add them by adding their numerators.

$$\frac{310625+3350000}{4}$$

Add 310625 and 3350000 to get 3660625.

$$\frac{3660625}{4}$$

Factor

$$\frac{5 ^ {4} \cdot 5857}{2 ^ {2}} = 915156\frac{1}{4} = 915156.25$$