Solve 2.995/(4.9)/6*11

$$\frac { 2.995 } { ( 4.9 ) / 6 } \times 11$$

Evaluate

$$\frac{19767}{490}\approx 40.340816327$$

Solution Steps

Divide 2.995 by \frac{4.9}{6} by multiplying 2.995 by the reciprocal of \frac{4.9}{6}.

$$\frac{2.995\times 6}{4.9}\times 11$$

Multiply 2.995 and 6 to get 17.97.

$$\frac{17.97}{4.9}\times 11$$

Expand \frac{17.97}{4.9} by multiplying both numerator and the denominator by 100.

$$\frac{1797}{490}\times 11$$

Express \frac{1797}{490}\times 11 as a single fraction.

$$\frac{1797\times 11}{490}$$

Multiply 1797 and 11 to get 19767.

$$\frac{19767}{490}$$

Factor

$$\frac{3 \cdot 11 \cdot 599}{2 \cdot 5 \cdot 7 ^ {2}} = 40\frac{167}{490} = 40.340816326530614$$