Solve 5/7+19/25*4+21/25*19

$$\frac { 5 } { 7 } + \frac { 19 } { 25 } \times 4 + \frac { 21 } { 25 } \times 19$$

Evaluate

$$\frac{138}{7}\approx 19.714285714$$

Solution Steps

Express \frac{19}{25}\times 4 as a single fraction.

$$\frac{5}{7}+\frac{19\times 4}{25}+\frac{21}{25}\times 19$$

Multiply 19 and 4 to get 76.

$$\frac{5}{7}+\frac{76}{25}+\frac{21}{25}\times 19$$

Least common multiple of 7 and 25 is 175. Convert \frac{5}{7} and \frac{76}{25} to fractions with denominator 175.

$$\frac{125}{175}+\frac{532}{175}+\frac{21}{25}\times 19$$

Since \frac{125}{175} and \frac{532}{175} have the same denominator, add them by adding their numerators.

$$\frac{125+532}{175}+\frac{21}{25}\times 19$$

Add 125 and 532 to get 657.

$$\frac{657}{175}+\frac{21}{25}\times 19$$

Express \frac{21}{25}\times 19 as a single fraction.

$$\frac{657}{175}+\frac{21\times 19}{25}$$

Multiply 21 and 19 to get 399.

$$\frac{657}{175}+\frac{399}{25}$$

Least common multiple of 175 and 25 is 175. Convert \frac{657}{175} and \frac{399}{25} to fractions with denominator 175.

$$\frac{657}{175}+\frac{2793}{175}$$

Since \frac{657}{175} and \frac{2793}{175} have the same denominator, add them by adding their numerators.

$$\frac{657+2793}{175}$$

Add 657 and 2793 to get 3450.

$$\frac{3450}{175}$$

Reduce the fraction \frac{3450}{175} to lowest terms by extracting and canceling out 25.

$$\frac{138}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 23}{7} = 19\frac{5}{7} = 19.714285714285715$$