Solve 3.33+4^frac{1{2}}-10/3+21/1

$$3.33 + 4 ^ { \frac { 1 } { 2 } } - \frac { 10 } { 3 } + 2 \frac { 1 } { 1 }$$

Evaluate

$$\frac{1499}{300}\approx 4.996666667$$

Solution Steps

Calculate 4 to the power of \frac{1}{2} and get 2.

$$3.33+2-\frac{10}{3}+\frac{2\times 1+1}{1}$$

Add 3.33 and 2 to get 5.33.

$$5.33-\frac{10}{3}+\frac{2\times 1+1}{1}$$

Subtract \frac{10}{3} from 5.33 to get \frac{599}{300}.

$$\frac{599}{300}+\frac{2\times 1+1}{1}$$

Multiply 2 and 1 to get 2.

$$\frac{599}{300}+\frac{2+1}{1}$$

Add 2 and 1 to get 3.

$$\frac{599}{300}+\frac{3}{1}$$

Anything divided by one gives itself.

$$\frac{599}{300}+3$$

Add \frac{599}{300} and 3 to get \frac{1499}{300}.

$$\frac{1499}{300}$$

Factor

$$\frac{1499}{3 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 4\frac{299}{300} = 4.996666666666667$$