Solve 315/4*125+1250*21.7/4+2.68/4*12500

$$\frac { 315 } { 4 } \times 125 + 1250 \times \frac { 21.7 } { 4 } + \frac { 2.68 } { 4 } \times 12500$$

Evaluate

$$25000$$

Solution Steps

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

$$\frac{315\times 125}{4}+1250\times \frac{21.7}{4}+\frac{2.68}{4}\times 12500$$

Multiply 315 and 125 to get 39375.

$$\frac{39375}{4}+1250\times \frac{21.7}{4}+\frac{2.68}{4}\times 12500$$

Expand \frac{21.7}{4} by multiplying both numerator and the denominator by 10.

$$\frac{39375}{4}+1250\times \frac{217}{40}+\frac{2.68}{4}\times 12500$$

Express 1250\times \frac{217}{40} as a single fraction.

$$\frac{39375}{4}+\frac{1250\times 217}{40}+\frac{2.68}{4}\times 12500$$

Multiply 1250 and 217 to get 271250.

$$\frac{39375}{4}+\frac{271250}{40}+\frac{2.68}{4}\times 12500$$

Reduce the fraction \frac{271250}{40} to lowest terms by extracting and canceling out 10.

$$\frac{39375}{4}+\frac{27125}{4}+\frac{2.68}{4}\times 12500$$

Since \frac{39375}{4} and \frac{27125}{4} have the same denominator, add them by adding their numerators.

$$\frac{39375+27125}{4}+\frac{2.68}{4}\times 12500$$

Add 39375 and 27125 to get 66500.

$$\frac{66500}{4}+\frac{2.68}{4}\times 12500$$

Divide 66500 by 4 to get 16625.

$$16625+\frac{2.68}{4}\times 12500$$

Expand \frac{2.68}{4} by multiplying both numerator and the denominator by 100.

$$16625+\frac{268}{400}\times 12500$$

Reduce the fraction \frac{268}{400} to lowest terms by extracting and canceling out 4.

$$16625+\frac{67}{100}\times 12500$$

Express \frac{67}{100}\times 12500 as a single fraction.

$$16625+\frac{67\times 12500}{100}$$

Multiply 67 and 12500 to get 837500.

$$16625+\frac{837500}{100}$$

Divide 837500 by 100 to get 8375.

$$16625+8375$$

Add 16625 and 8375 to get 25000.

$$25000$$

Factor

$$2^{3}\times 5^{5}$$