Solve 2/21+7/21+1/21-15/21+frac{100}{20}=

$$\frac { 2 } { 21 } + \frac { 7 } { 21 } + \frac { 1 } { 21 } - \frac { 15 } { 21 } + \frac { 100 } { 20 } =$$

Evaluate

$$\frac{100}{21}\approx 4.761904762$$

Solution Steps

Since \frac{2}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{21}+\frac{1}{21}-\frac{15}{21}+\frac{100}{20}$$

Add 2 and 7 to get 9.

$$\frac{9}{21}+\frac{1}{21}-\frac{15}{21}+\frac{100}{20}$$

Since \frac{9}{21} and \frac{1}{21} have the same denominator, add them by adding their numerators.

$$\frac{9+1}{21}-\frac{15}{21}+\frac{100}{20}$$

Add 9 and 1 to get 10.

$$\frac{10}{21}-\frac{15}{21}+\frac{100}{20}$$

Since \frac{10}{21} and \frac{15}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-15}{21}+\frac{100}{20}$$

Subtract 15 from 10 to get -5.

$$-\frac{5}{21}+\frac{100}{20}$$

Divide 100 by 20 to get 5.

$$-\frac{5}{21}+5$$

Convert 5 to fraction \frac{105}{21}.

$$-\frac{5}{21}+\frac{105}{21}$$

Since -\frac{5}{21} and \frac{105}{21} have the same denominator, add them by adding their numerators.

$$\frac{-5+105}{21}$$

Add -5 and 105 to get 100.

$$\frac{100}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 7} = 4\frac{16}{21} = 4.761904761904762$$