Solve 4-11/6*1/4=

$$4 - 1 \frac { 1 } { 6 } \cdot \frac { 1 } { 4 } =$$

Evaluate

$$\frac{89}{24}\approx 3.708333333$$

Solution Steps

Multiply 1 and 6 to get 6.

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

Add 6 and 1 to get 7.

$$4-\frac{7}{6}\times \frac{1}{4}$$

Multiply \frac{7}{6} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$4-\frac{7\times 1}{6\times 4}$$

Do the multiplications in the fraction \frac{7\times 1}{6\times 4}.

$$4-\frac{7}{24}$$

Convert 4 to fraction \frac{96}{24}.

$$\frac{96}{24}-\frac{7}{24}$$

Since \frac{96}{24} and \frac{7}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-7}{24}$$

Subtract 7 from 96 to get 89.

$$\frac{89}{24}$$

Factor

$$\frac{89}{2 ^ {3} \cdot 3} = 3\frac{17}{24} = 3.7083333333333335$$