Solve 1346.92div14.4+7.2

$$1346.92 \div 14.4+7.2$$

Evaluate

$$\frac{7253}{72}\approx 100.736111111$$

Solution Steps

Expand \frac{1346.92}{14.4} by multiplying both numerator and the denominator by 100.

$$\frac{134692}{1440}+7.2$$

Reduce the fraction \frac{134692}{1440} to lowest terms by extracting and canceling out 4.

$$\frac{33673}{360}+7.2$$

Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$\frac{33673}{360}+\frac{36}{5}$$

Least common multiple of 360 and 5 is 360. Convert \frac{33673}{360} and \frac{36}{5} to fractions with denominator 360.

$$\frac{33673}{360}+\frac{2592}{360}$$

Since \frac{33673}{360} and \frac{2592}{360} have the same denominator, add them by adding their numerators.

$$\frac{33673+2592}{360}$$

Add 33673 and 2592 to get 36265.

$$\frac{36265}{360}$$

Reduce the fraction \frac{36265}{360} to lowest terms by extracting and canceling out 5.

$$\frac{7253}{72}$$

Factor

$$\frac{7253}{2 ^ {3} \cdot 3 ^ {2}} = 100\frac{53}{72} = 100.73611111111111$$