Solve 193/5+231/4+161/2

$$19 \frac { 3 } { 5 } + 23 \frac { 1 } { 4 } + 16 \frac { 1 } { 2 }$$

Evaluate

$$\frac{1187}{20}=59.35$$

Solution Steps

Multiply 19 and 5 to get 95.

$$\frac{95+3}{5}+\frac{23\times 4+1}{4}+\frac{16\times 2+1}{2}$$

Add 95 and 3 to get 98.

$$\frac{98}{5}+\frac{23\times 4+1}{4}+\frac{16\times 2+1}{2}$$

Multiply 23 and 4 to get 92.

$$\frac{98}{5}+\frac{92+1}{4}+\frac{16\times 2+1}{2}$$

Add 92 and 1 to get 93.

$$\frac{98}{5}+\frac{93}{4}+\frac{16\times 2+1}{2}$$

Least common multiple of 5 and 4 is 20. Convert \frac{98}{5} and \frac{93}{4} to fractions with denominator 20.

$$\frac{392}{20}+\frac{465}{20}+\frac{16\times 2+1}{2}$$

Since \frac{392}{20} and \frac{465}{20} have the same denominator, add them by adding their numerators.

$$\frac{392+465}{20}+\frac{16\times 2+1}{2}$$

Add 392 and 465 to get 857.

$$\frac{857}{20}+\frac{16\times 2+1}{2}$$

Multiply 16 and 2 to get 32.

$$\frac{857}{20}+\frac{32+1}{2}$$

Add 32 and 1 to get 33.

$$\frac{857}{20}+\frac{33}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{857}{20} and \frac{33}{2} to fractions with denominator 20.

$$\frac{857}{20}+\frac{330}{20}$$

Since \frac{857}{20} and \frac{330}{20} have the same denominator, add them by adding their numerators.

$$\frac{857+330}{20}$$

Add 857 and 330 to get 1187.

$$\frac{1187}{20}$$

Factor

$$\frac{1187}{2 ^ {2} \cdot 5} = 59\frac{7}{20} = 59.35$$