Solve 5/125/12+5/24=

$$\frac { 5 } { 12 } \frac { 5 } { 12 } + \frac { 5 } { 24 } =$$

Evaluate

$$\frac{55}{144}\approx 0.381944444$$

Solution Steps

Multiply \frac{5}{12} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{12\times 12}+\frac{5}{24}$$

Do the multiplications in the fraction \frac{5\times 5}{12\times 12}.

$$\frac{25}{144}+\frac{5}{24}$$

Least common multiple of 144 and 24 is 144. Convert \frac{25}{144} and \frac{5}{24} to fractions with denominator 144.

$$\frac{25}{144}+\frac{30}{144}$$

Since \frac{25}{144} and \frac{30}{144} have the same denominator, add them by adding their numerators.

$$\frac{25+30}{144}$$

Add 25 and 30 to get 55.

$$\frac{55}{144}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {4} \cdot 3 ^ {2}} = 0.3819444444444444$$