Solve 0.01+{14/2-2+8/3}-0.7

$$0.01 + \{ \frac { 14 } { 2 } - 2 + \frac { 8 } { 3 } \} - 0.7$$

Evaluate

$$\frac{2093}{300}\approx 6.976666667$$

Solution Steps

Divide 14 by 2 to get 7.

$$0.01+7-2+\frac{8}{3}-0.7$$

Add 0.01 and 7 to get 7.01.

$$7.01-2+\frac{8}{3}-0.7$$

Subtract 2 from 7.01 to get 5.01.

$$5.01+\frac{8}{3}-0.7$$

Convert decimal number 5.01 to fraction \frac{501}{100}.

$$\frac{501}{100}+\frac{8}{3}-0.7$$

Least common multiple of 100 and 3 is 300. Convert \frac{501}{100} and \frac{8}{3} to fractions with denominator 300.

$$\frac{1503}{300}+\frac{800}{300}-0.7$$

Since \frac{1503}{300} and \frac{800}{300} have the same denominator, add them by adding their numerators.

$$\frac{1503+800}{300}-0.7$$

Add 1503 and 800 to get 2303.

$$\frac{2303}{300}-0.7$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{2303}{300}-\frac{7}{10}$$

Least common multiple of 300 and 10 is 300. Convert \frac{2303}{300} and \frac{7}{10} to fractions with denominator 300.

$$\frac{2303}{300}-\frac{210}{300}$$

Since \frac{2303}{300} and \frac{210}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2303-210}{300}$$

Subtract 210 from 2303 to get 2093.

$$\frac{2093}{300}$$

Factor

$$\frac{7 \cdot 13 \cdot 23}{3 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 6\frac{293}{300} = 6.976666666666667$$