Solve 49.7/100*79+50.3/100*81

$$\frac { 49.7 } { 100 } \times 79 + \frac { 50.3 } { 100 } \times 81$$

Evaluate

$$80.006$$

Solution Steps

Expand \frac{49.7}{100} by multiplying both numerator and the denominator by 10.

$$\frac{497}{1000}\times 79+\frac{50.3}{100}\times 81$$

Express \frac{497}{1000}\times 79 as a single fraction.

$$\frac{497\times 79}{1000}+\frac{50.3}{100}\times 81$$

Multiply 497 and 79 to get 39263.

$$\frac{39263}{1000}+\frac{50.3}{100}\times 81$$

Expand \frac{50.3}{100} by multiplying both numerator and the denominator by 10.

$$\frac{39263}{1000}+\frac{503}{1000}\times 81$$

Express \frac{503}{1000}\times 81 as a single fraction.

$$\frac{39263}{1000}+\frac{503\times 81}{1000}$$

Multiply 503 and 81 to get 40743.

$$\frac{39263}{1000}+\frac{40743}{1000}$$

Since \frac{39263}{1000} and \frac{40743}{1000} have the same denominator, add them by adding their numerators.

$$\frac{39263+40743}{1000}$$

Add 39263 and 40743 to get 80006.

$$\frac{80006}{1000}$$

Reduce the fraction \frac{80006}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{40003}{500}$$

Factor

$$\frac{109 \cdot 367}{2 ^ {2} \cdot 5 ^ {3}} = 80\frac{3}{500} = 80.006$$