Solve 6/11+14/19*4

$$\frac { 6 } { 11 } + \frac { 14 } { 19 } \times 4$$

Evaluate

$$\frac{730}{209}\approx 3.492822967$$

Solution Steps

Express \frac{14}{19}\times 4 as a single fraction.

$$\frac{6}{11}+\frac{14\times 4}{19}$$

Multiply 14 and 4 to get 56.

$$\frac{6}{11}+\frac{56}{19}$$

Least common multiple of 11 and 19 is 209. Convert \frac{6}{11} and \frac{56}{19} to fractions with denominator 209.

$$\frac{114}{209}+\frac{616}{209}$$

Since \frac{114}{209} and \frac{616}{209} have the same denominator, add them by adding their numerators.

$$\frac{114+616}{209}$$

Add 114 and 616 to get 730.

$$\frac{730}{209}$$

Factor

$$\frac{2 \cdot 5 \cdot 73}{11 \cdot 19} = 3\frac{103}{209} = 3.492822966507177$$