Solve 5/620^6-3/220^2+6*20=

$$\frac { 5 } { 6 } 20 ^ { 6 } - \frac { 3 } { 2 } 20 ^ { 2 } + 6 \cdot 20 =$$

Evaluate

$$\frac{159998560}{3}\approx 53332853.333333333$$

Solution Steps

Calculate 20 to the power of 6 and get 64000000.

$$\frac{5}{6}\times 64000000-\frac{3}{2}\times 20^{2}+6\times 20$$

Express \frac{5}{6}\times 64000000 as a single fraction.

$$\frac{5\times 64000000}{6}-\frac{3}{2}\times 20^{2}+6\times 20$$

Multiply 5 and 64000000 to get 320000000.

$$\frac{320000000}{6}-\frac{3}{2}\times 20^{2}+6\times 20$$

Reduce the fraction \frac{320000000}{6} to lowest terms by extracting and canceling out 2.

$$\frac{160000000}{3}-\frac{3}{2}\times 20^{2}+6\times 20$$

Calculate 20 to the power of 2 and get 400.

$$\frac{160000000}{3}-\frac{3}{2}\times 400+6\times 20$$

Express \frac{3}{2}\times 400 as a single fraction.

$$\frac{160000000}{3}-\frac{3\times 400}{2}+6\times 20$$

Multiply 3 and 400 to get 1200.

$$\frac{160000000}{3}-\frac{1200}{2}+6\times 20$$

Divide 1200 by 2 to get 600.

$$\frac{160000000}{3}-600+6\times 20$$

Convert 600 to fraction \frac{1800}{3}.

$$\frac{160000000}{3}-\frac{1800}{3}+6\times 20$$

Since \frac{160000000}{3} and \frac{1800}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{160000000-1800}{3}+6\times 20$$

Subtract 1800 from 160000000 to get 159998200.

$$\frac{159998200}{3}+6\times 20$$

Multiply 6 and 20 to get 120.

$$\frac{159998200}{3}+120$$

Convert 120 to fraction \frac{360}{3}.

$$\frac{159998200}{3}+\frac{360}{3}$$

Since \frac{159998200}{3} and \frac{360}{3} have the same denominator, add them by adding their numerators.

$$\frac{159998200+360}{3}$$

Add 159998200 and 360 to get 159998560.

$$\frac{159998560}{3}$$

Factor

$$\frac{2 ^ {5} \cdot 5 \cdot 17 \cdot 59 \cdot 997}{3} = 53332853\frac{1}{3} = 53332853.333333336$$