Solve 14*10^3+(16-14)*10^3*[6,428-(-5)]/[6,428-(-13,057)]

$$\frac { 14 \cdot 10 ^ { 3 } + ( 16 - 14 ) \cdot 10 ^ { 3 } \cdot [ 6,428 - ( - 5 ) ] } { [ 6,428 - ( - 13,057 ) ] }$$

Evaluate

$$\frac{2576000}{3897}\approx 661.021298435$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{14\times 1000+\left(16-14\right)\times 10^{3}\left(6428-\left(-5\right)\right)}{6428-\left(-13057\right)}$$

Multiply 14 and 1000 to get 14000.

$$\frac{14000+\left(16-14\right)\times 10^{3}\left(6428-\left(-5\right)\right)}{6428-\left(-13057\right)}$$

Subtract 14 from 16 to get 2.

$$\frac{14000+2\times 10^{3}\left(6428-\left(-5\right)\right)}{6428-\left(-13057\right)}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{14000+2\times 1000\left(6428-\left(-5\right)\right)}{6428-\left(-13057\right)}$$

Multiply 2 and 1000 to get 2000.

$$\frac{14000+2000\left(6428-\left(-5\right)\right)}{6428-\left(-13057\right)}$$

The opposite of -5 is 5.

$$\frac{14000+2000\left(6428+5\right)}{6428-\left(-13057\right)}$$

Add 6428 and 5 to get 6433.

$$\frac{14000+2000\times 6433}{6428-\left(-13057\right)}$$

Multiply 2000 and 6433 to get 12866000.

$$\frac{14000+12866000}{6428-\left(-13057\right)}$$

Add 14000 and 12866000 to get 12880000.

$$\frac{12880000}{6428-\left(-13057\right)}$$

The opposite of -13057 is 13057.

$$\frac{12880000}{6428+13057}$$

Add 6428 and 13057 to get 19485.

$$\frac{12880000}{19485}$$

Reduce the fraction \frac{12880000}{19485} to lowest terms by extracting and canceling out 5.

$$\frac{2576000}{3897}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {3} \cdot 7 \cdot 23}{3 ^ {2} \cdot 433} = 661\frac{83}{3897} = 661.0212984346933$$