Solve 7/10+14/25+4

$$\frac { 7 } { 10 } + \frac { 14 } { 25 } + 4$$

Evaluate

$$\frac{263}{50}=5.26$$

Solution Steps

Least common multiple of 10 and 25 is 50. Convert \frac{7}{10} and \frac{14}{25} to fractions with denominator 50.

$$\frac{35}{50}+\frac{28}{50}+4$$

Since \frac{35}{50} and \frac{28}{50} have the same denominator, add them by adding their numerators.

$$\frac{35+28}{50}+4$$

Add 35 and 28 to get 63.

$$\frac{63}{50}+4$$

Convert 4 to fraction \frac{200}{50}.

$$\frac{63}{50}+\frac{200}{50}$$

Since \frac{63}{50} and \frac{200}{50} have the same denominator, add them by adding their numerators.

$$\frac{63+200}{50}$$

Add 63 and 200 to get 263.

$$\frac{263}{50}$$

Factor

$$\frac{263}{2 \cdot 5 ^ {2}} = 5\frac{13}{50} = 5.26$$