Solve 39*148/149+148*86/149+48*74/149

$$39 \times \frac { 148 } { 149 } + 148 \times \frac { 86 } { 149 } + 48 \times \frac { 74 } { 149 }$$

Evaluate

$$148$$

Solution Steps

Express 39\times \frac{148}{149} as a single fraction.

$$\frac{39\times 148}{149}+148\times \frac{86}{149}+48\times \frac{74}{149}$$

Multiply 39 and 148 to get 5772.

$$\frac{5772}{149}+148\times \frac{86}{149}+48\times \frac{74}{149}$$

Express 148\times \frac{86}{149} as a single fraction.

$$\frac{5772}{149}+\frac{148\times 86}{149}+48\times \frac{74}{149}$$

Multiply 148 and 86 to get 12728.

$$\frac{5772}{149}+\frac{12728}{149}+48\times \frac{74}{149}$$

Since \frac{5772}{149} and \frac{12728}{149} have the same denominator, add them by adding their numerators.

$$\frac{5772+12728}{149}+48\times \frac{74}{149}$$

Add 5772 and 12728 to get 18500.

$$\frac{18500}{149}+48\times \frac{74}{149}$$

Express 48\times \frac{74}{149} as a single fraction.

$$\frac{18500}{149}+\frac{48\times 74}{149}$$

Multiply 48 and 74 to get 3552.

$$\frac{18500}{149}+\frac{3552}{149}$$

Since \frac{18500}{149} and \frac{3552}{149} have the same denominator, add them by adding their numerators.

$$\frac{18500+3552}{149}$$

Add 18500 and 3552 to get 22052.

$$\frac{22052}{149}$$

Divide 22052 by 149 to get 148.

$$148$$

Factor

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