Solve 9.6div4.9-9.6

$$9.6 \div 4.9-9.6$$

Evaluate

$$-\frac{1872}{245}\approx -7.640816327$$

Solution Steps

Expand \frac{9.6}{4.9} by multiplying both numerator and the denominator by 10.

$$\frac{96}{49}-9.6$$

Convert decimal number 9.6 to fraction \frac{96}{10}. Reduce the fraction \frac{96}{10} to lowest terms by extracting and canceling out 2.

$$\frac{96}{49}-\frac{48}{5}$$

Least common multiple of 49 and 5 is 245. Convert \frac{96}{49} and \frac{48}{5} to fractions with denominator 245.

$$\frac{480}{245}-\frac{2352}{245}$$

Since \frac{480}{245} and \frac{2352}{245} have the same denominator, subtract them by subtracting their numerators.

$$\frac{480-2352}{245}$$

Subtract 2352 from 480 to get -1872.

$$-\frac{1872}{245}$$

Factor

$$-\frac{1872}{245} = -7\frac{157}{245} = -7.640816326530612$$