Solve -21/4div15/32div36/25

$$- 2 \frac { 1 } { 4 } \div \frac { 15 } { 32 } \div \frac { 36 } { 25 }$$

Evaluate

$$-\frac{10}{3}\approx -3.333333333$$

Solution Steps

Divide \frac{-\frac{2\times 4+1}{4}}{\frac{15}{32}} by \frac{36}{25} by multiplying \frac{-\frac{2\times 4+1}{4}}{\frac{15}{32}} by the reciprocal of \frac{36}{25}.

$$\frac{\left(-\frac{2\times 4+1}{4}\right)\times 25}{\frac{15}{32}\times 36}$$

Multiply 2 and 4 to get 8.

$$\frac{\left(-\frac{8+1}{4}\right)\times 25}{\frac{15}{32}\times 36}$$

Add 8 and 1 to get 9.

$$\frac{-\frac{9}{4}\times 25}{\frac{15}{32}\times 36}$$

Express -\frac{9}{4}\times 25 as a single fraction.

$$\frac{\frac{-9\times 25}{4}}{\frac{15}{32}\times 36}$$

Multiply -9 and 25 to get -225.

$$\frac{\frac{-225}{4}}{\frac{15}{32}\times 36}$$

Fraction \frac{-225}{4} can be rewritten as -\frac{225}{4} by extracting the negative sign.

$$\frac{-\frac{225}{4}}{\frac{15}{32}\times 36}$$

Express \frac{15}{32}\times 36 as a single fraction.

$$\frac{-\frac{225}{4}}{\frac{15\times 36}{32}}$$

Multiply 15 and 36 to get 540.

$$\frac{-\frac{225}{4}}{\frac{540}{32}}$$

Reduce the fraction \frac{540}{32} to lowest terms by extracting and canceling out 4.

$$\frac{-\frac{225}{4}}{\frac{135}{8}}$$

Divide -\frac{225}{4} by \frac{135}{8} by multiplying -\frac{225}{4} by the reciprocal of \frac{135}{8}.

$$-\frac{225}{4}\times \frac{8}{135}$$

Multiply -\frac{225}{4} times \frac{8}{135} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-225\times 8}{4\times 135}$$

Do the multiplications in the fraction \frac{-225\times 8}{4\times 135}.

$$\frac{-1800}{540}$$

Reduce the fraction \frac{-1800}{540} to lowest terms by extracting and canceling out 180.

$$-\frac{10}{3}$$

Factor

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$