Solve -5/4+773/16

$$- \frac { 5 } { 4 } + 7 \frac { 73 } { 16 }$$

Evaluate

$$\frac{165}{16}=10.3125$$

Solution Steps

Multiply 7 and 16 to get 112.

$$-\frac{5}{4}+\frac{112+73}{16}$$

Add 112 and 73 to get 185.

$$-\frac{5}{4}+\frac{185}{16}$$

Least common multiple of 4 and 16 is 16. Convert -\frac{5}{4} and \frac{185}{16} to fractions with denominator 16.

$$-\frac{20}{16}+\frac{185}{16}$$

Since -\frac{20}{16} and \frac{185}{16} have the same denominator, add them by adding their numerators.

$$\frac{-20+185}{16}$$

Add -20 and 185 to get 165.

$$\frac{165}{16}$$

Factor

$$\frac{3 \cdot 5 \cdot 11}{2 ^ {4}} = 10\frac{5}{16} = 10.3125$$