Solve -2left(5/4+1right)+6*5/4-12/4-3=-45/4+5

$$-2 \left( \frac{ 5 }{ 4 } +1 \right) +6 \times \frac{ 5 }{ 4 } - \frac{ 12 }{ 4 } -3 = -4 \frac{ 5 }{ 4 } +5$$

Verify

Solution Steps

Multiply both sides of the equation by 4.

$$-8\left(\frac{5}{4}+1\right)+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Convert 1 to fraction \frac{4}{4}.

$$-8\left(\frac{5}{4}+\frac{4}{4}\right)+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Since \frac{5}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$-8\times \frac{5+4}{4}+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Add 5 and 4 to get 9.

$$-8\times \frac{9}{4}+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Express -8\times \frac{9}{4} as a single fraction.

$$\frac{-8\times 9}{4}+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Multiply -8 and 9 to get -72.

$$\frac{-72}{4}+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Divide -72 by 4 to get -18.

$$-18+24\times \frac{5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Express 24\times \frac{5}{4} as a single fraction.

$$-18+\frac{24\times 5}{4}-12-12=-\left(4\times 4+5\right)+20$$

Multiply 24 and 5 to get 120.

$$-18+\frac{120}{4}-12-12=-\left(4\times 4+5\right)+20$$

Divide 120 by 4 to get 30.

$$-18+30-12-12=-\left(4\times 4+5\right)+20$$

Add -18 and 30 to get 12.

$$12-12-12=-\left(4\times 4+5\right)+20$$

Subtract 12 from 12 to get 0.

$$-12=-\left(4\times 4+5\right)+20$$

Multiply 4 and 4 to get 16.

$$-12=-\left(16+5\right)+20$$

Add 16 and 5 to get 21.

$$-12=-21+20$$

Add -21 and 20 to get -1.

$$-12=-1$$

Compare -12 and -1.

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