Solve 2*14.5+1+12.25+11*8/7+left(12.25-8right)^2/4*14.5

$$2 \cdot 14.5+ \frac{ 1+12.25+11 \cdot 8 }{ 7 } + \frac{ { \left(12.25-8 \right) }^{ 2 } }{ 4 \cdot 14.5 }$$

Evaluate

$$\frac{284367}{6496}\approx 43.775708128$$

Solution Steps

Multiply 2 and 14.5 to get 29.

$$29+\frac{1+12.25+11\times 8}{7}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Add 1 and 12.25 to get 13.25.

$$29+\frac{13.25+11\times 8}{7}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Multiply 11 and 8 to get 88.

$$29+\frac{13.25+88}{7}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Add 13.25 and 88 to get 101.25.

$$29+\frac{101.25}{7}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Expand \frac{101.25}{7} by multiplying both numerator and the denominator by 100.

$$29+\frac{10125}{700}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Reduce the fraction \frac{10125}{700} to lowest terms by extracting and canceling out 25.

$$29+\frac{405}{28}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Add 29 and \frac{405}{28} to get \frac{1217}{28}.

$$\frac{1217}{28}+\frac{\left(12.25-8\right)^{2}}{4\times 14.5}$$

Subtract 8 from 12.25 to get 4.25.

$$\frac{1217}{28}+\frac{4.25^{2}}{4\times 14.5}$$

Calculate 4.25 to the power of 2 and get 18.0625.

$$\frac{1217}{28}+\frac{18.0625}{4\times 14.5}$$

Multiply 4 and 14.5 to get 58.

$$\frac{1217}{28}+\frac{18.0625}{58}$$

Expand \frac{18.0625}{58} by multiplying both numerator and the denominator by 10000.

$$\frac{1217}{28}+\frac{180625}{580000}$$

Reduce the fraction \frac{180625}{580000} to lowest terms by extracting and canceling out 625.

$$\frac{1217}{28}+\frac{289}{928}$$

Add \frac{1217}{28} and \frac{289}{928} to get \frac{284367}{6496}.

$$\frac{284367}{6496}$$

Factor

$$\frac{3 \cdot 94789}{7 \cdot 29 \cdot 2 ^ {5}} = 43\frac{5039}{6496} = 43.77570812807882$$