Solve 7.9-25.2div7.2

$$7.9 - 25.2 \div 7.2$$

Evaluate

$$4.4$$

Solution Steps

Expand \frac{25.2}{7.2} by multiplying both numerator and the denominator by 10.

$$7.9-\frac{252}{72}$$

Reduce the fraction \frac{252}{72} to lowest terms by extracting and canceling out 36.

$$7.9-\frac{7}{2}$$

Convert decimal number 7.9 to fraction \frac{79}{10}.

$$\frac{79}{10}-\frac{7}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{79}{10} and \frac{7}{2} to fractions with denominator 10.

$$\frac{79}{10}-\frac{35}{10}$$

Since \frac{79}{10} and \frac{35}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-35}{10}$$

Subtract 35 from 79 to get 44.

$$\frac{44}{10}$$

Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{5}$$

Factor

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4$$