Solve 1717/25+169/10+25+163/5

$$17 \frac { 17 } { 25 } + 16 \frac { 9 } { 10 } + 25 + 16 \frac { 3 } { 5 }$$

Evaluate

$$\frac{3809}{50}=76.18$$

Solution Steps

Multiply 17 and 25 to get 425.

$$\frac{425+17}{25}+\frac{16\times 10+9}{10}+25+\frac{16\times 5+3}{5}$$

Add 425 and 17 to get 442.

$$\frac{442}{25}+\frac{16\times 10+9}{10}+25+\frac{16\times 5+3}{5}$$

Multiply 16 and 10 to get 160.

$$\frac{442}{25}+\frac{160+9}{10}+25+\frac{16\times 5+3}{5}$$

Add 160 and 9 to get 169.

$$\frac{442}{25}+\frac{169}{10}+25+\frac{16\times 5+3}{5}$$

Least common multiple of 25 and 10 is 50. Convert \frac{442}{25} and \frac{169}{10} to fractions with denominator 50.

$$\frac{884}{50}+\frac{845}{50}+25+\frac{16\times 5+3}{5}$$

Since \frac{884}{50} and \frac{845}{50} have the same denominator, add them by adding their numerators.

$$\frac{884+845}{50}+25+\frac{16\times 5+3}{5}$$

Add 884 and 845 to get 1729.

$$\frac{1729}{50}+25+\frac{16\times 5+3}{5}$$

Convert 25 to fraction \frac{1250}{50}.

$$\frac{1729}{50}+\frac{1250}{50}+\frac{16\times 5+3}{5}$$

Since \frac{1729}{50} and \frac{1250}{50} have the same denominator, add them by adding their numerators.

$$\frac{1729+1250}{50}+\frac{16\times 5+3}{5}$$

Add 1729 and 1250 to get 2979.

$$\frac{2979}{50}+\frac{16\times 5+3}{5}$$

Multiply 16 and 5 to get 80.

$$\frac{2979}{50}+\frac{80+3}{5}$$

Add 80 and 3 to get 83.

$$\frac{2979}{50}+\frac{83}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{2979}{50} and \frac{83}{5} to fractions with denominator 50.

$$\frac{2979}{50}+\frac{830}{50}$$

Since \frac{2979}{50} and \frac{830}{50} have the same denominator, add them by adding their numerators.

$$\frac{2979+830}{50}$$

Add 2979 and 830 to get 3809.

$$\frac{3809}{50}$$

Factor

$$\frac{13 \cdot 293}{2 \cdot 5 ^ {2}} = 76\frac{9}{50} = 76.18$$