Solve 21/3div2.8-1

$$2 \frac{ 1 }{ 3 } \div 2.8-1$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Express \frac{\frac{2\times 3+1}{3}}{2.8} as a single fraction.

$$\frac{2\times 3+1}{3\times 2.8}-1$$

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3\times 2.8}-1$$

Add 6 and 1 to get 7.

$$\frac{7}{3\times 2.8}-1$$

Multiply 3 and 2.8 to get 8.4.

$$\frac{7}{8.4}-1$$

Expand \frac{7}{8.4} by multiplying both numerator and the denominator by 10.

$$\frac{70}{84}-1$$

Reduce the fraction \frac{70}{84} to lowest terms by extracting and canceling out 14.

$$\frac{5}{6}-1$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{5}{6}-\frac{6}{6}$$

Since \frac{5}{6} and \frac{6}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-6}{6}$$

Subtract 6 from 5 to get -1.

$$-\frac{1}{6}$$

Factor

$$-\frac{1}{6} = -0.16666666666666666$$