Solve 2.64+4/5*11/2

$$2.64 + \frac { 4 } { 5 } \times 1 \frac { 1 } { 2 }$$

Evaluate

$$3.84$$

Solution Steps

Multiply 1 and 2 to get 2.

$$2.64+\frac{4}{5}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$2.64+\frac{4}{5}\times \frac{3}{2}$$

Multiply \frac{4}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$2.64+\frac{4\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{4\times 3}{5\times 2}.

$$2.64+\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$2.64+\frac{6}{5}$$

Convert decimal number 2.64 to fraction \frac{264}{100}. Reduce the fraction \frac{264}{100} to lowest terms by extracting and canceling out 4.

$$\frac{66}{25}+\frac{6}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{66}{25} and \frac{6}{5} to fractions with denominator 25.

$$\frac{66}{25}+\frac{30}{25}$$

Since \frac{66}{25} and \frac{30}{25} have the same denominator, add them by adding their numerators.

$$\frac{66+30}{25}$$

Add 66 and 30 to get 96.

$$\frac{96}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {5}}{5 ^ {2}} = 3\frac{21}{25} = 3.84$$