Solve 0,8/3+2*2/0,44

$$\frac { 0,8 } { 3 } + 2 \cdot \frac { 2 } { 0,44 }$$

Evaluate

$$\frac{1544}{165}\approx 9,357575758$$

Solution Steps

Expand \frac{0,8}{3} by multiplying both numerator and the denominator by 10.

$$\frac{8}{30}+2\times \frac{2}{0,44}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}+2\times \frac{2}{0,44}$$

Expand \frac{2}{0,44} by multiplying both numerator and the denominator by 100.

$$\frac{4}{15}+2\times \frac{200}{44}$$

Reduce the fraction \frac{200}{44} to lowest terms by extracting and canceling out 4.

$$\frac{4}{15}+2\times \frac{50}{11}$$

Express 2\times \frac{50}{11} as a single fraction.

$$\frac{4}{15}+\frac{2\times 50}{11}$$

Multiply 2 and 50 to get 100.

$$\frac{4}{15}+\frac{100}{11}$$

Least common multiple of 15 and 11 is 165. Convert \frac{4}{15} and \frac{100}{11} to fractions with denominator 165.

$$\frac{44}{165}+\frac{1500}{165}$$

Since \frac{44}{165} and \frac{1500}{165} have the same denominator, add them by adding their numerators.

$$\frac{44+1500}{165}$$

Add 44 and 1500 to get 1544.

$$\frac{1544}{165}$$

Factor

$$\frac{193 \cdot 2 ^ {3}}{3 \cdot 5 \cdot 11} = 9\frac{59}{165} = 9.357575757575757$$