Solve 0.11*8/3+2.58

$$0.11 \times \frac{ 8 }{ 3 } +2.58$$

Evaluate

$$\frac{431}{150}\approx 2.873333333$$

Solution Steps

Convert decimal number 0.11 to fraction \frac{11}{100}.

$$\frac{11}{100}\times \frac{8}{3}+2.58$$

Multiply \frac{11}{100} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 8}{100\times 3}+2.58$$

Do the multiplications in the fraction \frac{11\times 8}{100\times 3}.

$$\frac{88}{300}+2.58$$

Reduce the fraction \frac{88}{300} to lowest terms by extracting and canceling out 4.

$$\frac{22}{75}+2.58$$

Convert decimal number 2.58 to fraction \frac{258}{100}. Reduce the fraction \frac{258}{100} to lowest terms by extracting and canceling out 2.

$$\frac{22}{75}+\frac{129}{50}$$

Least common multiple of 75 and 50 is 150. Convert \frac{22}{75} and \frac{129}{50} to fractions with denominator 150.

$$\frac{44}{150}+\frac{387}{150}$$

Since \frac{44}{150} and \frac{387}{150} have the same denominator, add them by adding their numerators.

$$\frac{44+387}{150}$$

Add 44 and 387 to get 431.

$$\frac{431}{150}$$

Factor

$$\frac{431}{2 \cdot 3 \cdot 5 ^ {2}} = 2\frac{131}{150} = 2.8733333333333335$$