Solve 51/5+43/4

$$5 \frac { 1 } { 5 } + 4 \frac { 3 } { 4 }$$

Evaluate

$$\frac{199}{20}=9.95$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+1}{5}+\frac{4\times 4+3}{4}$$

Add 25 and 1 to get 26.

$$\frac{26}{5}+\frac{4\times 4+3}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{26}{5}+\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{26}{5}+\frac{19}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{26}{5} and \frac{19}{4} to fractions with denominator 20.

$$\frac{104}{20}+\frac{95}{20}$$

Since \frac{104}{20} and \frac{95}{20} have the same denominator, add them by adding their numerators.

$$\frac{104+95}{20}$$

Add 104 and 95 to get 199.

$$\frac{199}{20}$$

Factor

$$\frac{199}{2 ^ {2} \cdot 5} = 9\frac{19}{20} = 9.95$$