Solve 1407/30-1385/12=

$$140 \frac { 7 } { 30 } - 138 \frac { 5 } { 12 } =$$

Evaluate

$$\frac{109}{60}\approx 1.816666667$$

Solution Steps

Multiply 140 and 30 to get 4200.

$$\frac{4200+7}{30}-\frac{138\times 12+5}{12}$$

Add 4200 and 7 to get 4207.

$$\frac{4207}{30}-\frac{138\times 12+5}{12}$$

Multiply 138 and 12 to get 1656.

$$\frac{4207}{30}-\frac{1656+5}{12}$$

Add 1656 and 5 to get 1661.

$$\frac{4207}{30}-\frac{1661}{12}$$

Least common multiple of 30 and 12 is 60. Convert \frac{4207}{30} and \frac{1661}{12} to fractions with denominator 60.

$$\frac{8414}{60}-\frac{8305}{60}$$

Since \frac{8414}{60} and \frac{8305}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8414-8305}{60}$$

Subtract 8305 from 8414 to get 109.

$$\frac{109}{60}$$

Factor

$$\frac{109}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{49}{60} = 1.8166666666666667$$