Solve |1/6+3/8|*5/2

$$| \frac { 1 } { 6 } + \frac { 3 } { 8 } | \times \frac { 5 } { 2 }$$

Evaluate

$$\frac{65}{48}\approx 1.354166667$$

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{3}{8} to fractions with denominator 24.

$$|\frac{4}{24}+\frac{9}{24}|\times \frac{5}{2}$$

Since \frac{4}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$|\frac{4+9}{24}|\times \frac{5}{2}$$

Add 4 and 9 to get 13.

$$|\frac{13}{24}|\times \frac{5}{2}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{13}{24} is \frac{13}{24}.

$$\frac{13}{24}\times \frac{5}{2}$$

Multiply \frac{13}{24} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 5}{24\times 2}$$

Do the multiplications in the fraction \frac{13\times 5}{24\times 2}.

$$\frac{65}{48}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {4} \cdot 3} = 1\frac{17}{48} = 1.3541666666666667$$