Solve 3-(14/15+7/10)

$$3-( \frac{ 14 }{ 15 } + \frac{ 7 }{ 10 } )$$

Evaluate

$$\frac{41}{30}\approx 1.366666667$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{14}{15} and \frac{7}{10} to fractions with denominator 30.

$$3-\left(\frac{28}{30}+\frac{21}{30}\right)$$

Since \frac{28}{30} and \frac{21}{30} have the same denominator, add them by adding their numerators.

$$3-\frac{28+21}{30}$$

Add 28 and 21 to get 49.

$$3-\frac{49}{30}$$

Convert 3 to fraction \frac{90}{30}.

$$\frac{90}{30}-\frac{49}{30}$$

Since \frac{90}{30} and \frac{49}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-49}{30}$$

Subtract 49 from 90 to get 41.

$$\frac{41}{30}$$

Factor

$$\frac{41}{2 \cdot 3 \cdot 5} = 1\frac{11}{30} = 1.3666666666666667$$