Solve 0*15/210+1*80/210+2*90/210+3*24/210+4*frac{1}{210}

$$0 \times \frac { 15 } { 210 } + 1 \times \frac { 80 } { 210 } + 2 \times \frac { 90 } { 210 } + 3 \times \frac { 24 } { 210 } + 4 \times \frac { 1 } { 210 }$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Reduce the fraction \frac{15}{210} to lowest terms by extracting and canceling out 15.

$$0\times \frac{1}{14}+1\times \frac{80}{210}+2\times \frac{90}{210}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Multiply 0 and \frac{1}{14} to get 0.

$$0+1\times \frac{80}{210}+2\times \frac{90}{210}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Reduce the fraction \frac{80}{210} to lowest terms by extracting and canceling out 10.

$$0+1\times \frac{8}{21}+2\times \frac{90}{210}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Multiply 1 and \frac{8}{21} to get \frac{8}{21}.

$$0+\frac{8}{21}+2\times \frac{90}{210}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Add 0 and \frac{8}{21} to get \frac{8}{21}.

$$\frac{8}{21}+2\times \frac{90}{210}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Reduce the fraction \frac{90}{210} to lowest terms by extracting and canceling out 30.

$$\frac{8}{21}+2\times \frac{3}{7}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Express 2\times \frac{3}{7} as a single fraction.

$$\frac{8}{21}+\frac{2\times 3}{7}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Multiply 2 and 3 to get 6.

$$\frac{8}{21}+\frac{6}{7}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Least common multiple of 21 and 7 is 21. Convert \frac{8}{21} and \frac{6}{7} to fractions with denominator 21.

$$\frac{8}{21}+\frac{18}{21}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Since \frac{8}{21} and \frac{18}{21} have the same denominator, add them by adding their numerators.

$$\frac{8+18}{21}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Add 8 and 18 to get 26.

$$\frac{26}{21}+3\times \frac{24}{210}+4\times \frac{1}{210}$$

Reduce the fraction \frac{24}{210} to lowest terms by extracting and canceling out 6.

$$\frac{26}{21}+3\times \frac{4}{35}+4\times \frac{1}{210}$$

Express 3\times \frac{4}{35} as a single fraction.

$$\frac{26}{21}+\frac{3\times 4}{35}+4\times \frac{1}{210}$$

Multiply 3 and 4 to get 12.

$$\frac{26}{21}+\frac{12}{35}+4\times \frac{1}{210}$$

Least common multiple of 21 and 35 is 105. Convert \frac{26}{21} and \frac{12}{35} to fractions with denominator 105.

$$\frac{130}{105}+\frac{36}{105}+4\times \frac{1}{210}$$

Since \frac{130}{105} and \frac{36}{105} have the same denominator, add them by adding their numerators.

$$\frac{130+36}{105}+4\times \frac{1}{210}$$

Add 130 and 36 to get 166.

$$\frac{166}{105}+4\times \frac{1}{210}$$

Multiply 4 and \frac{1}{210} to get \frac{4}{210}.

$$\frac{166}{105}+\frac{4}{210}$$

Reduce the fraction \frac{4}{210} to lowest terms by extracting and canceling out 2.

$$\frac{166}{105}+\frac{2}{105}$$

Since \frac{166}{105} and \frac{2}{105} have the same denominator, add them by adding their numerators.

$$\frac{166+2}{105}$$

Add 166 and 2 to get 168.

$$\frac{168}{105}$$

Reduce the fraction \frac{168}{105} to lowest terms by extracting and canceling out 21.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$