Solve -3/4+51/16=

$$- \frac { 3 } { 4 } + 5 \frac { 1 } { 16 } =$$

Evaluate

$$\frac{69}{16}=4.3125$$

Solution Steps

Multiply 5 and 16 to get 80.

$$-\frac{3}{4}+\frac{80+1}{16}$$

Add 80 and 1 to get 81.

$$-\frac{3}{4}+\frac{81}{16}$$

Least common multiple of 4 and 16 is 16. Convert -\frac{3}{4} and \frac{81}{16} to fractions with denominator 16.

$$-\frac{12}{16}+\frac{81}{16}$$

Since -\frac{12}{16} and \frac{81}{16} have the same denominator, add them by adding their numerators.

$$\frac{-12+81}{16}$$

Add -12 and 81 to get 69.

$$\frac{69}{16}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {4}} = 4\frac{5}{16} = 4.3125$$