Solve 0.55/1.33+0.92

$$\frac{ 0.55 }{ 1.3 } 3+0.92$$

Evaluate

$$\frac{1423}{650}\approx 2.189230769$$

Solution Steps

Expand \frac{0.55}{1.3} by multiplying both numerator and the denominator by 100.

$$\frac{55}{130}\times 3+0.92$$

Reduce the fraction \frac{55}{130} to lowest terms by extracting and canceling out 5.

$$\frac{11}{26}\times 3+0.92$$

Express \frac{11}{26}\times 3 as a single fraction.

$$\frac{11\times 3}{26}+0.92$$

Multiply 11 and 3 to get 33.

$$\frac{33}{26}+0.92$$

Convert decimal number 0.92 to fraction \frac{92}{100}. Reduce the fraction \frac{92}{100} to lowest terms by extracting and canceling out 4.

$$\frac{33}{26}+\frac{23}{25}$$

Least common multiple of 26 and 25 is 650. Convert \frac{33}{26} and \frac{23}{25} to fractions with denominator 650.

$$\frac{825}{650}+\frac{598}{650}$$

Since \frac{825}{650} and \frac{598}{650} have the same denominator, add them by adding their numerators.

$$\frac{825+598}{650}$$

Add 825 and 598 to get 1423.

$$\frac{1423}{650}$$

Factor

$$\frac{1423}{2 \cdot 13 \cdot 5 ^ {2}} = 2\frac{123}{650} = 2.189230769230769$$