Solve 7*1/2+(4/5)^2=

$$7 \times 1 / 2 + ( 4 / 5 ) ^ { 2 } =$$

Evaluate

$$\frac{207}{50}=4.14$$

Solution Steps

Multiply 7 and \frac{1}{2} to get \frac{7}{2}.

$$\frac{7}{2}+\left(\frac{4}{5}\right)^{2}$$

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$\frac{7}{2}+\frac{16}{25}$$

Least common multiple of 2 and 25 is 50. Convert \frac{7}{2} and \frac{16}{25} to fractions with denominator 50.

$$\frac{175}{50}+\frac{32}{50}$$

Since \frac{175}{50} and \frac{32}{50} have the same denominator, add them by adding their numerators.

$$\frac{175+32}{50}$$

Add 175 and 32 to get 207.

$$\frac{207}{50}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 \cdot 5 ^ {2}} = 4\frac{7}{50} = 4.14$$