Solve (1/6*1/5)+3/4

$$( \frac { 1 } { 6 } \times \frac { 1 } { 5 } ) + \frac { 3 } { 4 }$$

Evaluate

$$\frac{47}{60}\approx 0.783333333$$

Solution Steps

Multiply \frac{1}{6} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{6\times 5}+\frac{3}{4}$$

Do the multiplications in the fraction \frac{1\times 1}{6\times 5}.

$$\frac{1}{30}+\frac{3}{4}$$

Least common multiple of 30 and 4 is 60. Convert \frac{1}{30} and \frac{3}{4} to fractions with denominator 60.

$$\frac{2}{60}+\frac{45}{60}$$

Since \frac{2}{60} and \frac{45}{60} have the same denominator, add them by adding their numerators.

$$\frac{2+45}{60}$$

Add 2 and 45 to get 47.

$$\frac{47}{60}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3 \cdot 5} = 0.7833333333333333$$