Solve 6+2/3*1/4

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

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply \frac{2}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 1}{3\times 4}.

$$6+\frac{2}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$6+\frac{1}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$\frac{36}{6}+\frac{1}{6}$$

Since \frac{36}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{36+1}{6}$$

Add 36 and 1 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$