Solve 4^2+0.1*10^2+84/51^2

$${ 4 }^{ 2 } +0.1 \times { 10 }^{ 2 } + \frac{ 84 }{ { 51 }^{ 2 } }$$

Evaluate

$$\frac{22570}{867}\approx 26.032295271$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$16+0.1\times 10^{2}+\frac{84}{51^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$16+0.1\times 100+\frac{84}{51^{2}}$$

Multiply 0.1 and 100 to get 10.

$$16+10+\frac{84}{51^{2}}$$

Add 16 and 10 to get 26.

$$26+\frac{84}{51^{2}}$$

Calculate 51 to the power of 2 and get 2601.

$$26+\frac{84}{2601}$$

Reduce the fraction \frac{84}{2601} to lowest terms by extracting and canceling out 3.

$$26+\frac{28}{867}$$

Convert 26 to fraction \frac{22542}{867}.

$$\frac{22542}{867}+\frac{28}{867}$$

Since \frac{22542}{867} and \frac{28}{867} have the same denominator, add them by adding their numerators.

$$\frac{22542+28}{867}$$

Add 22542 and 28 to get 22570.

$$\frac{22570}{867}$$

Factor

$$\frac{2 \cdot 5 \cdot 37 \cdot 61}{3 \cdot 17 ^ {2}} = 26\frac{28}{867} = 26.032295271049595$$