Solve 3/200+5/201+5/204+4/209+frac{2}{20}16+frac{1}{20}25

$$\frac{ 3 }{ 20 } 0+ \frac{ 5 }{ 20 } 1+ \frac{ 5 }{ 20 } 4+ \frac{ 4 }{ 20 } 9+ \frac{ 2 }{ 20 } 16+ \frac{ 1 }{ 20 } 25$$

Evaluate

$$\frac{59}{10}=5.9$$

Solution Steps

Multiply \frac{3}{20} and 0 to get 0.

$$0+\frac{5}{20}\times 1+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$0+\frac{1}{4}\times 1+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

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

$$0+\frac{1}{4}+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Add 0 and \frac{1}{4} to get \frac{1}{4}.

$$\frac{1}{4}+\frac{5}{20}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}+\frac{1}{4}\times 4+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Cancel out 4 and 4.

$$\frac{1}{4}+1+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{1}{4}+\frac{4}{4}+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Since \frac{1}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{4}+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Add 1 and 4 to get 5.

$$\frac{5}{4}+\frac{4}{20}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{5}{4}+\frac{1}{5}\times 9+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Multiply \frac{1}{5} and 9 to get \frac{9}{5}.

$$\frac{5}{4}+\frac{9}{5}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Least common multiple of 4 and 5 is 20. Convert \frac{5}{4} and \frac{9}{5} to fractions with denominator 20.

$$\frac{25}{20}+\frac{36}{20}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Since \frac{25}{20} and \frac{36}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+36}{20}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Add 25 and 36 to get 61.

$$\frac{61}{20}+\frac{2}{20}\times 16+\frac{1}{20}\times 25$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{61}{20}+\frac{1}{10}\times 16+\frac{1}{20}\times 25$$

Multiply \frac{1}{10} and 16 to get \frac{16}{10}.

$$\frac{61}{20}+\frac{16}{10}+\frac{1}{20}\times 25$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{61}{20}+\frac{8}{5}+\frac{1}{20}\times 25$$

Least common multiple of 20 and 5 is 20. Convert \frac{61}{20} and \frac{8}{5} to fractions with denominator 20.

$$\frac{61}{20}+\frac{32}{20}+\frac{1}{20}\times 25$$

Since \frac{61}{20} and \frac{32}{20} have the same denominator, add them by adding their numerators.

$$\frac{61+32}{20}+\frac{1}{20}\times 25$$

Add 61 and 32 to get 93.

$$\frac{93}{20}+\frac{1}{20}\times 25$$

Multiply \frac{1}{20} and 25 to get \frac{25}{20}.

$$\frac{93}{20}+\frac{25}{20}$$

Since \frac{93}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{93+25}{20}$$

Add 93 and 25 to get 118.

$$\frac{118}{20}$$

Reduce the fraction \frac{118}{20} to lowest terms by extracting and canceling out 2.

$$\frac{59}{10}$$

Factor

$$\frac{59}{2 \cdot 5} = 5\frac{9}{10} = 5.9$$