Solve 3,7+1/3,7

$$3,7 + \frac { 1 } { 3,7 }$$

Evaluate

$$\frac{1469}{370}\approx 3,97027027$$

Solution Steps

Expand \frac{1}{3,7} by multiplying both numerator and the denominator by 10.

$$3,7+\frac{10}{37}$$

Convert decimal number 3,7 to fraction \frac{37}{10}.

$$\frac{37}{10}+\frac{10}{37}$$

Least common multiple of 10 and 37 is 370. Convert \frac{37}{10} and \frac{10}{37} to fractions with denominator 370.

$$\frac{1369}{370}+\frac{100}{370}$$

Since \frac{1369}{370} and \frac{100}{370} have the same denominator, add them by adding their numerators.

$$\frac{1369+100}{370}$$

Add 1369 and 100 to get 1469.

$$\frac{1469}{370}$$

Factor

$$\frac{13 \cdot 113}{2 \cdot 5 \cdot 37} = 3\frac{359}{370} = 3.9702702702702704$$