Solve (1/4*1/13*1/4+2/3)

$$( \frac { 1 } { 4 } \cdot \frac { 1 } { 13 } \cdot \frac { 1 } { 4 } + \frac { 2 } { 3 } )$$

Evaluate

$$\frac{419}{624}\approx 0.671474359$$

Solution Steps

Multiply \frac{1}{4} times \frac{1}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{4\times 13}\times \frac{1}{4}+\frac{2}{3}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 13}.

$$\frac{1}{52}\times \frac{1}{4}+\frac{2}{3}$$

Multiply \frac{1}{52} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{52\times 4}+\frac{2}{3}$$

Do the multiplications in the fraction \frac{1\times 1}{52\times 4}.

$$\frac{1}{208}+\frac{2}{3}$$

Least common multiple of 208 and 3 is 624. Convert \frac{1}{208} and \frac{2}{3} to fractions with denominator 624.

$$\frac{3}{624}+\frac{416}{624}$$

Since \frac{3}{624} and \frac{416}{624} have the same denominator, add them by adding their numerators.

$$\frac{3+416}{624}$$

Add 3 and 416 to get 419.

$$\frac{419}{624}$$

Factor

$$\frac{419}{2 ^ {4} \cdot 3 \cdot 13} = 0.6714743589743589$$