Solve 2.3div4+5.5div8+7.1div12+1.1div24

$$2.3 \div 4+5.5 \div 8+7.1 \div 12+1.1 \div 24$$

Evaluate

$$1.9$$

Solution Steps

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

$$\frac{23}{40}+\frac{5.5}{8}+\frac{7.1}{12}+\frac{1.1}{24}$$

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

$$\frac{23}{40}+\frac{55}{80}+\frac{7.1}{12}+\frac{1.1}{24}$$

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

$$\frac{23}{40}+\frac{11}{16}+\frac{7.1}{12}+\frac{1.1}{24}$$

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

$$\frac{46}{80}+\frac{55}{80}+\frac{7.1}{12}+\frac{1.1}{24}$$

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

$$\frac{46+55}{80}+\frac{7.1}{12}+\frac{1.1}{24}$$

Add 46 and 55 to get 101.

$$\frac{101}{80}+\frac{7.1}{12}+\frac{1.1}{24}$$

Expand \frac{7.1}{12} by multiplying both numerator and the denominator by 10.

$$\frac{101}{80}+\frac{71}{120}+\frac{1.1}{24}$$

Least common multiple of 80 and 120 is 240. Convert \frac{101}{80} and \frac{71}{120} to fractions with denominator 240.

$$\frac{303}{240}+\frac{142}{240}+\frac{1.1}{24}$$

Since \frac{303}{240} and \frac{142}{240} have the same denominator, add them by adding their numerators.

$$\frac{303+142}{240}+\frac{1.1}{24}$$

Add 303 and 142 to get 445.

$$\frac{445}{240}+\frac{1.1}{24}$$

Reduce the fraction \frac{445}{240} to lowest terms by extracting and canceling out 5.

$$\frac{89}{48}+\frac{1.1}{24}$$

Expand \frac{1.1}{24} by multiplying both numerator and the denominator by 10.

$$\frac{89}{48}+\frac{11}{240}$$

Least common multiple of 48 and 240 is 240. Convert \frac{89}{48} and \frac{11}{240} to fractions with denominator 240.

$$\frac{445}{240}+\frac{11}{240}$$

Since \frac{445}{240} and \frac{11}{240} have the same denominator, add them by adding their numerators.

$$\frac{445+11}{240}$$

Add 445 and 11 to get 456.

$$\frac{456}{240}$$

Reduce the fraction \frac{456}{240} to lowest terms by extracting and canceling out 24.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$