Solve 3/4+5/6--3/16=

$$\frac { 3 } { 4 } + \frac { 5 } { 6 } - \frac { - 3 } { 16 } =$$

Evaluate

$$\frac{85}{48}\approx 1.770833333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}-\frac{-3}{16}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}-\frac{-3}{16}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}-\frac{-3}{16}$$

Fraction \frac{-3}{16} can be rewritten as -\frac{3}{16} by extracting the negative sign.

$$\frac{19}{12}-\left(-\frac{3}{16}\right)$$

The opposite of -\frac{3}{16} is \frac{3}{16}.

$$\frac{19}{12}+\frac{3}{16}$$

Least common multiple of 12 and 16 is 48. Convert \frac{19}{12} and \frac{3}{16} to fractions with denominator 48.

$$\frac{76}{48}+\frac{9}{48}$$

Since \frac{76}{48} and \frac{9}{48} have the same denominator, add them by adding their numerators.

$$\frac{76+9}{48}$$

Add 76 and 9 to get 85.

$$\frac{85}{48}$$

Factor

$$\frac{5 \cdot 17}{2 ^ {4} \cdot 3} = 1\frac{37}{48} = 1.7708333333333333$$