Solve 5.5+7.8+2.3*2+4.9+4.9+5+10.7div2

$$5.5+7.8+2.3 \times 2+4.9+4.9+5+10.7 \div 2$$

Evaluate

$$38.05$$

Solution Steps

Add 5.5 and 7.8 to get 13.3.

$$13.3+2.3\times 2+4.9+4.9+5+\frac{10.7}{2}$$

Multiply 2.3 and 2 to get 4.6.

$$13.3+4.6+4.9+4.9+5+\frac{10.7}{2}$$

Add 13.3 and 4.6 to get 17.9.

$$17.9+4.9+4.9+5+\frac{10.7}{2}$$

Add 17.9 and 4.9 to get 22.8.

$$22.8+4.9+5+\frac{10.7}{2}$$

Add 22.8 and 4.9 to get 27.7.

$$27.7+5+\frac{10.7}{2}$$

Add 27.7 and 5 to get 32.7.

$$32.7+\frac{10.7}{2}$$

Expand \frac{10.7}{2} by multiplying both numerator and the denominator by 10.

$$32.7+\frac{107}{20}$$

Convert decimal number 32.7 to fraction \frac{327}{10}.

$$\frac{327}{10}+\frac{107}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{327}{10} and \frac{107}{20} to fractions with denominator 20.

$$\frac{654}{20}+\frac{107}{20}$$

Since \frac{654}{20} and \frac{107}{20} have the same denominator, add them by adding their numerators.

$$\frac{654+107}{20}$$

Add 654 and 107 to get 761.

$$\frac{761}{20}$$

Factor

$$\frac{761}{5 \cdot 2 ^ {2}} = 38\frac{1}{20} = 38.05$$