Solve 155/18-6.54-3.46

$$15 \frac { 5 } { 18 } - 6.54 - 3.46$$

Evaluate

$$\frac{95}{18}\approx 5.277777778$$

Solution Steps

Multiply 15 and 18 to get 270.

$$\frac{270+5}{18}-6.54-3.46$$

Add 270 and 5 to get 275.

$$\frac{275}{18}-6.54-3.46$$

Convert decimal number 6.54 to fraction \frac{654}{100}. Reduce the fraction \frac{654}{100} to lowest terms by extracting and canceling out 2.

$$\frac{275}{18}-\frac{327}{50}-3.46$$

Least common multiple of 18 and 50 is 450. Convert \frac{275}{18} and \frac{327}{50} to fractions with denominator 450.

$$\frac{6875}{450}-\frac{2943}{450}-3.46$$

Since \frac{6875}{450} and \frac{2943}{450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6875-2943}{450}-3.46$$

Subtract 2943 from 6875 to get 3932.

$$\frac{3932}{450}-3.46$$

Reduce the fraction \frac{3932}{450} to lowest terms by extracting and canceling out 2.

$$\frac{1966}{225}-3.46$$

Convert decimal number 3.46 to fraction \frac{346}{100}. Reduce the fraction \frac{346}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1966}{225}-\frac{173}{50}$$

Least common multiple of 225 and 50 is 450. Convert \frac{1966}{225} and \frac{173}{50} to fractions with denominator 450.

$$\frac{3932}{450}-\frac{1557}{450}$$

Since \frac{3932}{450} and \frac{1557}{450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3932-1557}{450}$$

Subtract 1557 from 3932 to get 2375.

$$\frac{2375}{450}$$

Reduce the fraction \frac{2375}{450} to lowest terms by extracting and canceling out 25.

$$\frac{95}{18}$$

Factor

$$\frac{5 \cdot 19}{2 \cdot 3 ^ {2}} = 5\frac{5}{18} = 5.277777777777778$$