Solve 25/14+19/10

$$2 \frac { 5 } { 14 } + 1 \frac { 9 } { 10 }$$

Evaluate

$$\frac{149}{35}\approx 4.257142857$$

Solution Steps

Multiply 2 and 14 to get 28.

$$\frac{28+5}{14}+\frac{1\times 10+9}{10}$$

Add 28 and 5 to get 33.

$$\frac{33}{14}+\frac{1\times 10+9}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{33}{14}+\frac{10+9}{10}$$

Add 10 and 9 to get 19.

$$\frac{33}{14}+\frac{19}{10}$$

Least common multiple of 14 and 10 is 70. Convert \frac{33}{14} and \frac{19}{10} to fractions with denominator 70.

$$\frac{165}{70}+\frac{133}{70}$$

Since \frac{165}{70} and \frac{133}{70} have the same denominator, add them by adding their numerators.

$$\frac{165+133}{70}$$

Add 165 and 133 to get 298.

$$\frac{298}{70}$$

Reduce the fraction \frac{298}{70} to lowest terms by extracting and canceling out 2.

$$\frac{149}{35}$$

Factor

$$\frac{149}{5 \cdot 7} = 4\frac{9}{35} = 4.257142857142857$$