Solve 8-5*2/3-0.7=11/20

$$8 - 5 \times \frac { 2 } { 3 } - 0.7 = \frac { 11 } { 20 }$$

Verify

Solution Steps

Express 5\times \frac{2}{3} as a single fraction.

$$8-\frac{5\times 2}{3}-0.7=\frac{11}{20}$$

Multiply 5 and 2 to get 10.

$$8-\frac{10}{3}-0.7=\frac{11}{20}$$

Convert 8 to fraction \frac{24}{3}.

$$\frac{24}{3}-\frac{10}{3}-0.7=\frac{11}{20}$$

Since \frac{24}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-10}{3}-0.7=\frac{11}{20}$$

Subtract 10 from 24 to get 14.

$$\frac{14}{3}-0.7=\frac{11}{20}$$

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

$$\frac{14}{3}-\frac{7}{10}=\frac{11}{20}$$

Least common multiple of 3 and 10 is 30. Convert \frac{14}{3} and \frac{7}{10} to fractions with denominator 30.

$$\frac{140}{30}-\frac{21}{30}=\frac{11}{20}$$

Since \frac{140}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140-21}{30}=\frac{11}{20}$$

Subtract 21 from 140 to get 119.

$$\frac{119}{30}=\frac{11}{20}$$

Least common multiple of 30 and 20 is 60. Convert \frac{119}{30} and \frac{11}{20} to fractions with denominator 60.

$$\frac{238}{60}=\frac{33}{60}$$

Compare \frac{238}{60} and \frac{33}{60}.

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