Solve 2.3div4+5.5div8

$$2.3 \div 4+5.5 \div 8$$

Evaluate

$$1.2625$$

Solution Steps

Expand \frac{2.3}{4} by multiplying both numerator and the denominator by 10.

$$\frac{23}{40}+\frac{5.5}{8}$$

Expand \frac{5.5}{8} by multiplying both numerator and the denominator by 10.

$$\frac{23}{40}+\frac{55}{80}$$

Reduce the fraction \frac{55}{80} to lowest terms by extracting and canceling out 5.

$$\frac{23}{40}+\frac{11}{16}$$

Least common multiple of 40 and 16 is 80. Convert \frac{23}{40} and \frac{11}{16} to fractions with denominator 80.

$$\frac{46}{80}+\frac{55}{80}$$

Since \frac{46}{80} and \frac{55}{80} have the same denominator, add them by adding their numerators.

$$\frac{46+55}{80}$$

Add 46 and 55 to get 101.

$$\frac{101}{80}$$

Factor

$$\frac{101}{5 \cdot 2 ^ {4}} = 1\frac{21}{80} = 1.2625$$