Solve 5div19/16*3-1/3=

$$5 \div \frac{ 19 }{ 16 } \times 3- \frac{ 1 }{ 3 } =$$

Evaluate

$$\frac{701}{57}\approx 12.298245614$$

Solution Steps

Divide 5 by \frac{19}{16} by multiplying 5 by the reciprocal of \frac{19}{16}.

$$5\times \frac{16}{19}\times 3-\frac{1}{3}$$

Express 5\times \frac{16}{19} as a single fraction.

$$\frac{5\times 16}{19}\times 3-\frac{1}{3}$$

Multiply 5 and 16 to get 80.

$$\frac{80}{19}\times 3-\frac{1}{3}$$

Express \frac{80}{19}\times 3 as a single fraction.

$$\frac{80\times 3}{19}-\frac{1}{3}$$

Multiply 80 and 3 to get 240.

$$\frac{240}{19}-\frac{1}{3}$$

Least common multiple of 19 and 3 is 57. Convert \frac{240}{19} and \frac{1}{3} to fractions with denominator 57.

$$\frac{720}{57}-\frac{19}{57}$$

Since \frac{720}{57} and \frac{19}{57} have the same denominator, subtract them by subtracting their numerators.

$$\frac{720-19}{57}$$

Subtract 19 from 720 to get 701.

$$\frac{701}{57}$$

Factor

$$\frac{701}{3 \cdot 19} = 12\frac{17}{57} = 12.298245614035087$$