Solve 13.5div(-33)*63/7=

$$13.5 \div ( - 33 ) \times 6 \frac { 3 } { 7 } =$$

Evaluate

$$-\frac{405}{154}\approx -2.62987013$$

Solution Steps

Expand \frac{13.5}{-33} by multiplying both numerator and the denominator by 10.

$$\frac{135}{-330}\times \frac{6\times 7+3}{7}$$

Reduce the fraction \frac{135}{-330} to lowest terms by extracting and canceling out 15.

$$-\frac{9}{22}\times \frac{6\times 7+3}{7}$$

Multiply 6 and 7 to get 42.

$$-\frac{9}{22}\times \frac{42+3}{7}$$

Add 42 and 3 to get 45.

$$-\frac{9}{22}\times \frac{45}{7}$$

Multiply -\frac{9}{22} times \frac{45}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\times 45}{22\times 7}$$

Do the multiplications in the fraction \frac{-9\times 45}{22\times 7}.

$$\frac{-405}{154}$$

Fraction \frac{-405}{154} can be rewritten as -\frac{405}{154} by extracting the negative sign.

$$-\frac{405}{154}$$

Factor

$$-\frac{405}{154} = -2\frac{97}{154} = -2.6298701298701297$$