Solve -11/2=3/4*(-02)*(3/4div14*(-3/5)

$$- 1 \frac { 1 } { 2 } = \frac { 3 } { 4 } \times ( - 02 ) \times ( \frac { 3 } { 4 } \div 14 \times ( - \frac { 3 } { 5 } )$$

Verify

Solution Steps

Multiply both sides of the equation by 140, the least common multiple of 2,4,14,5.

$$-70\left(2+1\right)=\frac{15}{2}\left(-2\right)\times \frac{3}{4}\left(-\frac{3}{5}\right)$$

Add 2 and 1 to get 3.

$$-70\times 3=\frac{15}{2}\left(-2\right)\times \frac{3}{4}\left(-\frac{3}{5}\right)$$

Multiply -70 and 3 to get -210.

$$-210=\frac{15}{2}\left(-2\right)\times \frac{3}{4}\left(-\frac{3}{5}\right)$$

Express \frac{15}{2}\left(-2\right) as a single fraction.

$$-210=\frac{15\left(-2\right)}{2}\times \frac{3}{4}\left(-\frac{3}{5}\right)$$

Multiply 15 and -2 to get -30.

$$-210=\frac{-30}{2}\times \frac{3}{4}\left(-\frac{3}{5}\right)$$

Divide -30 by 2 to get -15.

$$-210=-15\times \frac{3}{4}\left(-\frac{3}{5}\right)$$

Express -15\times \frac{3}{4} as a single fraction.

$$-210=\frac{-15\times 3}{4}\left(-\frac{3}{5}\right)$$

Multiply -15 and 3 to get -45.

$$-210=\frac{-45}{4}\left(-\frac{3}{5}\right)$$

Fraction \frac{-45}{4} can be rewritten as -\frac{45}{4} by extracting the negative sign.

$$-210=-\frac{45}{4}\left(-\frac{3}{5}\right)$$

Multiply -\frac{45}{4} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$-210=\frac{-45\left(-3\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-45\left(-3\right)}{4\times 5}.

$$-210=\frac{135}{20}$$

Reduce the fraction \frac{135}{20} to lowest terms by extracting and canceling out 5.

$$-210=\frac{27}{4}$$

Convert -210 to fraction -\frac{840}{4}.

$$-\frac{840}{4}=\frac{27}{4}$$

Compare -\frac{840}{4} and \frac{27}{4}.

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