Solve 3.88^2+3.12^2/2+3.88*3.12

$$\frac { 3.88 ^ { 2 } + 3.12 ^ { 2 } } { 2 } + 3.88 \cdot 3.12$$

Evaluate

$$24.5$$

Solution Steps

Calculate 3.88 to the power of 2 and get 15.0544.

$$\frac{15.0544+3.12^{2}}{2}+3.88\times 3.12$$

Calculate 3.12 to the power of 2 and get 9.7344.

$$\frac{15.0544+9.7344}{2}+3.88\times 3.12$$

Add 15.0544 and 9.7344 to get 24.7888.

$$\frac{24.7888}{2}+3.88\times 3.12$$

Expand \frac{24.7888}{2} by multiplying both numerator and the denominator by 10000.

$$\frac{247888}{20000}+3.88\times 3.12$$

Reduce the fraction \frac{247888}{20000} to lowest terms by extracting and canceling out 16.

$$\frac{15493}{1250}+3.88\times 3.12$$

Multiply 3.88 and 3.12 to get 12.1056.

$$\frac{15493}{1250}+12.1056$$

Convert decimal number 12.1056 to fraction \frac{121056}{10000}. Reduce the fraction \frac{121056}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{15493}{1250}+\frac{7566}{625}$$

Least common multiple of 1250 and 625 is 1250. Convert \frac{15493}{1250} and \frac{7566}{625} to fractions with denominator 1250.

$$\frac{15493}{1250}+\frac{15132}{1250}$$

Since \frac{15493}{1250} and \frac{15132}{1250} have the same denominator, add them by adding their numerators.

$$\frac{15493+15132}{1250}$$

Add 15493 and 15132 to get 30625.

$$\frac{30625}{1250}$$

Reduce the fraction \frac{30625}{1250} to lowest terms by extracting and canceling out 625.

$$\frac{49}{2}$$

Factor

$$\frac{7 ^ {2}}{2} = 24\frac{1}{2} = 24.5$$