Solve 2.1+2.4+2.1+2.5+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+3.7/14

$$2.1+2.4+2.1+2.5+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+ \frac{ 3.7 }{ 14 }$$

Evaluate

$$\frac{5693}{140}\approx 40.664285714$$

Solution Steps

Add 2.1 and 2.4 to get 4.5.

$$4.5+2.1+2.5+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 4.5 and 2.1 to get 6.6.

$$6.6+2.5+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 6.6 and 2.5 to get 9.1.

$$9.1+3.9+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 9.1 and 3.9 to get 13.

$$13+3.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 13 and 3.6 to get 16.6.

$$16.6+4+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 16.6 and 4 to get 20.6.

$$20.6+3+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 20.6 and 3 to get 23.6.

$$23.6+3.7+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 23.6 and 3.7 to get 27.3.

$$27.3+2.4+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 27.3 and 2.4 to get 29.7.

$$29.7+2.9+3.6+4.2+\frac{3.7}{14}$$

Add 29.7 and 2.9 to get 32.6.

$$32.6+3.6+4.2+\frac{3.7}{14}$$

Add 32.6 and 3.6 to get 36.2.

$$36.2+4.2+\frac{3.7}{14}$$

Add 36.2 and 4.2 to get 40.4.

$$40.4+\frac{3.7}{14}$$

Expand \frac{3.7}{14} by multiplying both numerator and the denominator by 10.

$$40.4+\frac{37}{140}$$

Convert decimal number 40.4 to fraction \frac{404}{10}. Reduce the fraction \frac{404}{10} to lowest terms by extracting and canceling out 2.

$$\frac{202}{5}+\frac{37}{140}$$

Least common multiple of 5 and 140 is 140. Convert \frac{202}{5} and \frac{37}{140} to fractions with denominator 140.

$$\frac{5656}{140}+\frac{37}{140}$$

Since \frac{5656}{140} and \frac{37}{140} have the same denominator, add them by adding their numerators.

$$\frac{5656+37}{140}$$

Add 5656 and 37 to get 5693.

$$\frac{5693}{140}$$

Factor

$$\frac{5693}{5 \cdot 7 \cdot 2 ^ {2}} = 40\frac{93}{140} = 40.66428571428571$$