Solve -153/4div(-75/7)

$$- 15 \frac { 3 } { 4 } \div ( - 7 \frac { 5 } { 7 } )$$

Evaluate

$$\frac{49}{24}\approx 2.041666667$$

Solution Steps

Multiply 15 and 4 to get 60.

$$\frac{-\frac{60+3}{4}}{-\frac{7\times 7+5}{7}}$$

Add 60 and 3 to get 63.

$$\frac{-\frac{63}{4}}{-\frac{7\times 7+5}{7}}$$

Multiply 7 and 7 to get 49.

$$\frac{-\frac{63}{4}}{-\frac{49+5}{7}}$$

Add 49 and 5 to get 54.

$$\frac{-\frac{63}{4}}{-\frac{54}{7}}$$

Divide -\frac{63}{4} by -\frac{54}{7} by multiplying -\frac{63}{4} by the reciprocal of -\frac{54}{7}.

$$-\frac{63}{4}\left(-\frac{7}{54}\right)$$

Multiply -\frac{63}{4} times -\frac{7}{54} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-63\left(-7\right)}{4\times 54}$$

Do the multiplications in the fraction \frac{-63\left(-7\right)}{4\times 54}.

$$\frac{441}{216}$$

Reduce the fraction \frac{441}{216} to lowest terms by extracting and canceling out 9.

$$\frac{49}{24}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 3} = 2\frac{1}{24} = 2.0416666666666665$$