Solve -11/2=3/4*(-0.2)*(3/4div1.4*(-3/5)

$$- 1 \frac { 1 } { 2 } = \frac { 3 } { 4 } \times ( - 0.2 ) \times ( \frac { 3 } { 4 } \div 1.4 \times ( - \frac { 3 } { 5 } )$$

Verify

Solution Steps

Multiply both sides of the equation by 20, the least common multiple of 2,4,5.

$$-10\left(2+1\right)=15\left(-0.2\right)\times \frac{\frac{3}{4}}{1.4}\left(-\frac{3}{5}\right)$$

Add 2 and 1 to get 3.

$$-10\times 3=15\left(-0.2\right)\times \frac{\frac{3}{4}}{1.4}\left(-\frac{3}{5}\right)$$

Multiply -10 and 3 to get -30.

$$-30=15\left(-0.2\right)\times \frac{\frac{3}{4}}{1.4}\left(-\frac{3}{5}\right)$$

Multiply 15 and -0.2 to get -3.

$$-30=-3\times \frac{\frac{3}{4}}{1.4}\left(-\frac{3}{5}\right)$$

Express \frac{\frac{3}{4}}{1.4} as a single fraction.

$$-30=-3\times \frac{3}{4\times 1.4}\left(-\frac{3}{5}\right)$$

Multiply 4 and 1.4 to get 5.6.

$$-30=-3\times \frac{3}{5.6}\left(-\frac{3}{5}\right)$$

Expand \frac{3}{5.6} by multiplying both numerator and the denominator by 10.

$$-30=-3\times \frac{30}{56}\left(-\frac{3}{5}\right)$$

Reduce the fraction \frac{30}{56} to lowest terms by extracting and canceling out 2.

$$-30=-3\times \frac{15}{28}\left(-\frac{3}{5}\right)$$

Express -3\times \frac{15}{28} as a single fraction.

$$-30=\frac{-3\times 15}{28}\left(-\frac{3}{5}\right)$$

Multiply -3 and 15 to get -45.

$$-30=\frac{-45}{28}\left(-\frac{3}{5}\right)$$

Fraction \frac{-45}{28} can be rewritten as -\frac{45}{28} by extracting the negative sign.

$$-30=-\frac{45}{28}\left(-\frac{3}{5}\right)$$

Multiply -\frac{45}{28} times -\frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$-30=\frac{-45\left(-3\right)}{28\times 5}$$

Do the multiplications in the fraction \frac{-45\left(-3\right)}{28\times 5}.

$$-30=\frac{135}{140}$$

Reduce the fraction \frac{135}{140} to lowest terms by extracting and canceling out 5.

$$-30=\frac{27}{28}$$

Convert -30 to fraction -\frac{840}{28}.

$$-\frac{840}{28}=\frac{27}{28}$$

Compare -\frac{840}{28} and \frac{27}{28}.

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