Solve 2-1/6*3/4+1/4

$$2 - \frac { 1 } { 6 } \cdot \frac { 3 } { 4 } + \frac { 1 } { 4 }$$

Evaluate

$$\frac{17}{8}=2.125$$

Solution Steps

Multiply \frac{1}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{1\times 3}{6\times 4}+\frac{1}{4}$$

Do the multiplications in the fraction \frac{1\times 3}{6\times 4}.

$$2-\frac{3}{24}+\frac{1}{4}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$2-\frac{1}{8}+\frac{1}{4}$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{16}{8}-\frac{1}{8}+\frac{1}{4}$$

Since \frac{16}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{8}+\frac{1}{4}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{15}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{15}{8}+\frac{2}{8}$$

Since \frac{15}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{8}$$

Add 15 and 2 to get 17.

$$\frac{17}{8}$$

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$