Solve 4,9+11/9=

$$4,9 + 1 \frac { 1 } { 9 } =$$

Evaluate

$$\frac{541}{90}\approx 6,011111111$$

Solution Steps

Multiply 1 and 9 to get 9.

$$4,9+\frac{9+1}{9}$$

Add 9 and 1 to get 10.

$$4,9+\frac{10}{9}$$

Convert decimal number 4,9 to fraction \frac{49}{10}.

$$\frac{49}{10}+\frac{10}{9}$$

Least common multiple of 10 and 9 is 90. Convert \frac{49}{10} and \frac{10}{9} to fractions with denominator 90.

$$\frac{441}{90}+\frac{100}{90}$$

Since \frac{441}{90} and \frac{100}{90} have the same denominator, add them by adding their numerators.

$$\frac{441+100}{90}$$

Add 441 and 100 to get 541.

$$\frac{541}{90}$$

Factor

$$\frac{541}{2 \cdot 5 \cdot 3 ^ {2}} = 6\frac{1}{90} = 6.011111111111111$$