Solve 13/4+19/10

$$1 \frac{ 3 }{ 4 } +1 \frac{ 9 }{ 10 }$$

Evaluate

$$\frac{73}{20}=3.65$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}+\frac{1\times 10+9}{10}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{1\times 10+9}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{7}{4}+\frac{10+9}{10}$$

Add 10 and 9 to get 19.

$$\frac{7}{4}+\frac{19}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{7}{4} and \frac{19}{10} to fractions with denominator 20.

$$\frac{35}{20}+\frac{38}{20}$$

Since \frac{35}{20} and \frac{38}{20} have the same denominator, add them by adding their numerators.

$$\frac{35+38}{20}$$

Add 35 and 38 to get 73.

$$\frac{73}{20}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 5} = 3\frac{13}{20} = 3.65$$