Solve 4/38*3+14/171*3+2/19+14/285

$$\frac { 4 } { 38 } \times 3 + \frac { 14 } { 171 } \times 3 + \frac { 2 } { 19 } + \frac { 14 } { 285 }$$

Evaluate

$$\frac{68}{95}\approx 0.715789474$$

Solution Steps

Reduce the fraction \frac{4}{38} to lowest terms by extracting and canceling out 2.

$$\frac{2}{19}\times 3+\frac{14}{171}\times 3+\frac{2}{19}+\frac{14}{285}$$

Express \frac{2}{19}\times 3 as a single fraction.

$$\frac{2\times 3}{19}+\frac{14}{171}\times 3+\frac{2}{19}+\frac{14}{285}$$

Multiply 2 and 3 to get 6.

$$\frac{6}{19}+\frac{14}{171}\times 3+\frac{2}{19}+\frac{14}{285}$$

Express \frac{14}{171}\times 3 as a single fraction.

$$\frac{6}{19}+\frac{14\times 3}{171}+\frac{2}{19}+\frac{14}{285}$$

Multiply 14 and 3 to get 42.

$$\frac{6}{19}+\frac{42}{171}+\frac{2}{19}+\frac{14}{285}$$

Reduce the fraction \frac{42}{171} to lowest terms by extracting and canceling out 3.

$$\frac{6}{19}+\frac{14}{57}+\frac{2}{19}+\frac{14}{285}$$

Least common multiple of 19 and 57 is 57. Convert \frac{6}{19} and \frac{14}{57} to fractions with denominator 57.

$$\frac{18}{57}+\frac{14}{57}+\frac{2}{19}+\frac{14}{285}$$

Since \frac{18}{57} and \frac{14}{57} have the same denominator, add them by adding their numerators.

$$\frac{18+14}{57}+\frac{2}{19}+\frac{14}{285}$$

Add 18 and 14 to get 32.

$$\frac{32}{57}+\frac{2}{19}+\frac{14}{285}$$

Least common multiple of 57 and 19 is 57. Convert \frac{32}{57} and \frac{2}{19} to fractions with denominator 57.

$$\frac{32}{57}+\frac{6}{57}+\frac{14}{285}$$

Since \frac{32}{57} and \frac{6}{57} have the same denominator, add them by adding their numerators.

$$\frac{32+6}{57}+\frac{14}{285}$$

Add 32 and 6 to get 38.

$$\frac{38}{57}+\frac{14}{285}$$

Reduce the fraction \frac{38}{57} to lowest terms by extracting and canceling out 19.

$$\frac{2}{3}+\frac{14}{285}$$

Least common multiple of 3 and 285 is 285. Convert \frac{2}{3} and \frac{14}{285} to fractions with denominator 285.

$$\frac{190}{285}+\frac{14}{285}$$

Since \frac{190}{285} and \frac{14}{285} have the same denominator, add them by adding their numerators.

$$\frac{190+14}{285}$$

Add 190 and 14 to get 204.

$$\frac{204}{285}$$

Reduce the fraction \frac{204}{285} to lowest terms by extracting and canceling out 3.

$$\frac{68}{95}$$

Factor

$$\frac{2 ^ {2} \cdot 17}{5 \cdot 19} = 0.7157894736842105$$