Solve 32/5+13/4+7/16

$$3 \frac { 2 } { 5 } + 1 \frac { 3 } { 4 } + \frac { 7 } { 16 }$$

Evaluate

$$\frac{447}{80}=5.5875$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}+\frac{1\times 4+3}{4}+\frac{7}{16}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}+\frac{1\times 4+3}{4}+\frac{7}{16}$$

Multiply 1 and 4 to get 4.

$$\frac{17}{5}+\frac{4+3}{4}+\frac{7}{16}$$

Add 4 and 3 to get 7.

$$\frac{17}{5}+\frac{7}{4}+\frac{7}{16}$$

Least common multiple of 5 and 4 is 20. Convert \frac{17}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{68}{20}+\frac{35}{20}+\frac{7}{16}$$

Since \frac{68}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{68+35}{20}+\frac{7}{16}$$

Add 68 and 35 to get 103.

$$\frac{103}{20}+\frac{7}{16}$$

Least common multiple of 20 and 16 is 80. Convert \frac{103}{20} and \frac{7}{16} to fractions with denominator 80.

$$\frac{412}{80}+\frac{35}{80}$$

Since \frac{412}{80} and \frac{35}{80} have the same denominator, add them by adding their numerators.

$$\frac{412+35}{80}$$

Add 412 and 35 to get 447.

$$\frac{447}{80}$$

Factor

$$\frac{3 \cdot 149}{2 ^ {4} \cdot 5} = 5\frac{47}{80} = 5.5875$$