Solve (7)1/2+(-1/4)*(-3/8)=

$$( 7 ) \frac { 1 } { 2 } + ( - \frac { 1 } { 4 } ) \times ( - \frac { 3 } { 8 } ) =$$

Evaluate

$$\frac{115}{32}=3.59375$$

Solution Steps

Multiply 7 and \frac{1}{2} to get \frac{7}{2}.

$$\frac{7}{2}-\frac{1}{4}\left(-\frac{3}{8}\right)$$

Multiply -\frac{1}{4} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{2}+\frac{-\left(-3\right)}{4\times 8}$$

Do the multiplications in the fraction \frac{-\left(-3\right)}{4\times 8}.

$$\frac{7}{2}+\frac{3}{32}$$

Least common multiple of 2 and 32 is 32. Convert \frac{7}{2} and \frac{3}{32} to fractions with denominator 32.

$$\frac{112}{32}+\frac{3}{32}$$

Since \frac{112}{32} and \frac{3}{32} have the same denominator, add them by adding their numerators.

$$\frac{112+3}{32}$$

Add 112 and 3 to get 115.

$$\frac{115}{32}$$

Factor

$$\frac{5 \cdot 23}{2 ^ {5}} = 3\frac{19}{32} = 3.59375$$