Solve 14/5+23/7

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

Evaluate

$$\frac{148}{35}\approx 4.228571429$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 4 to get 9.

$$\frac{9}{5}+\frac{2\times 7+3}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{9}{5}+\frac{14+3}{7}$$

Add 14 and 3 to get 17.

$$\frac{9}{5}+\frac{17}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{9}{5} and \frac{17}{7} to fractions with denominator 35.

$$\frac{63}{35}+\frac{85}{35}$$

Since \frac{63}{35} and \frac{85}{35} have the same denominator, add them by adding their numerators.

$$\frac{63+85}{35}$$

Add 63 and 85 to get 148.

$$\frac{148}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 37}{5 \cdot 7} = 4\frac{8}{35} = 4.228571428571429$$