Solve 2/3-7/2quad1/13

$$\frac { 2 } { 3 } - \frac { 7 } { 2 } \quad \frac { 1 } { 13 }$$

Evaluate

$$\frac{31}{78}\approx 0.397435897$$

Solution Steps

Multiply \frac{7}{2} times \frac{1}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}-\frac{7\times 1}{2\times 13}$$

Do the multiplications in the fraction \frac{7\times 1}{2\times 13}.

$$\frac{2}{3}-\frac{7}{26}$$

Least common multiple of 3 and 26 is 78. Convert \frac{2}{3} and \frac{7}{26} to fractions with denominator 78.

$$\frac{52}{78}-\frac{21}{78}$$

Since \frac{52}{78} and \frac{21}{78} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-21}{78}$$

Subtract 21 from 52 to get 31.

$$\frac{31}{78}$$

Factor

$$\frac{31}{2 \cdot 3 \cdot 13} = 0.3974358974358974$$