Solve 4(5/8)+2(3/7)

$$4( \frac{ 5 }{ 8 } )+2( \frac{ 3 }{ 7 } )$$

Evaluate

$$\frac{47}{14}\approx 3.357142857$$

Solution Steps

Express 4\times \frac{5}{8} as a single fraction.

$$\frac{4\times 5}{8}+2\times \frac{3}{7}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{8}+2\times \frac{3}{7}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

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

Express 2\times \frac{3}{7} as a single fraction.

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

Multiply 2 and 3 to get 6.

$$\frac{5}{2}+\frac{6}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{6}{7} to fractions with denominator 14.

$$\frac{35}{14}+\frac{12}{14}$$

Since \frac{35}{14} and \frac{12}{14} have the same denominator, add them by adding their numerators.

$$\frac{35+12}{14}$$

Add 35 and 12 to get 47.

$$\frac{47}{14}$$

Factor

$$\frac{47}{2 \cdot 7} = 3\frac{5}{14} = 3.357142857142857$$