Solve 38/15-41/18

$$3 \frac { 8 } { 15 } - 4 \frac { 1 } { 18 }$$

Evaluate

$$-\frac{47}{90}\approx -0.522222222$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+8}{15}-\frac{4\times 18+1}{18}$$

Add 45 and 8 to get 53.

$$\frac{53}{15}-\frac{4\times 18+1}{18}$$

Multiply 4 and 18 to get 72.

$$\frac{53}{15}-\frac{72+1}{18}$$

Add 72 and 1 to get 73.

$$\frac{53}{15}-\frac{73}{18}$$

Least common multiple of 15 and 18 is 90. Convert \frac{53}{15} and \frac{73}{18} to fractions with denominator 90.

$$\frac{318}{90}-\frac{365}{90}$$

Since \frac{318}{90} and \frac{365}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{318-365}{90}$$

Subtract 365 from 318 to get -47.

$$-\frac{47}{90}$$

Factor

$$-\frac{47}{90} = -0.5222222222222223$$