Solve 3(9.76)+6.4-(-0.7-1/3)

$$3 ( 9.76 ) + 6.4 - ( - 0.7 - \frac { 1 } { 3 } )$$

Evaluate

$$\frac{5507}{150}\approx 36.713333333$$

Solution Steps

Multiply 3 and 9.76 to get 29.28.

$$29.28+6.4-\left(-0.7-\frac{1}{3}\right)$$

Add 29.28 and 6.4 to get 35.68.

$$35.68-\left(-0.7-\frac{1}{3}\right)$$

Convert decimal number -0.7 to fraction -\frac{7}{10}.

$$35.68-\left(-\frac{7}{10}-\frac{1}{3}\right)$$

Least common multiple of 10 and 3 is 30. Convert -\frac{7}{10} and \frac{1}{3} to fractions with denominator 30.

$$35.68-\left(-\frac{21}{30}-\frac{10}{30}\right)$$

Since -\frac{21}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$35.68-\frac{-21-10}{30}$$

Subtract 10 from -21 to get -31.

$$35.68-\left(-\frac{31}{30}\right)$$

The opposite of -\frac{31}{30} is \frac{31}{30}.

$$35.68+\frac{31}{30}$$

Convert decimal number 35.68 to fraction \frac{3568}{100}. Reduce the fraction \frac{3568}{100} to lowest terms by extracting and canceling out 4.

$$\frac{892}{25}+\frac{31}{30}$$

Least common multiple of 25 and 30 is 150. Convert \frac{892}{25} and \frac{31}{30} to fractions with denominator 150.

$$\frac{5352}{150}+\frac{155}{150}$$

Since \frac{5352}{150} and \frac{155}{150} have the same denominator, add them by adding their numerators.

$$\frac{5352+155}{150}$$

Add 5352 and 155 to get 5507.

$$\frac{5507}{150}$$

Factor

$$\frac{5507}{2 \cdot 3 \cdot 5 ^ {2}} = 36\frac{107}{150} = 36.71333333333333$$