Solve 54/15-35/6

$$5 \frac { 4 } { 15 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$\frac{43}{30}\approx 1.433333333$$

Solution Steps

Multiply 5 and 15 to get 75.

$$\frac{75+4}{15}-\frac{3\times 6+5}{6}$$

Add 75 and 4 to get 79.

$$\frac{79}{15}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{79}{15}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{79}{15}-\frac{23}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{79}{15} and \frac{23}{6} to fractions with denominator 30.

$$\frac{158}{30}-\frac{115}{30}$$

Since \frac{158}{30} and \frac{115}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{158-115}{30}$$

Subtract 115 from 158 to get 43.

$$\frac{43}{30}$$

Factor

$$\frac{43}{2 \cdot 3 \cdot 5} = 1\frac{13}{30} = 1.4333333333333333$$