Solve -2(5/4+1)+6*5/4-3=4*5/4+5

$$- 2 ( \frac { 5 } { 4 } + 1 ) + 6 \cdot \frac { 5 } { 4 } - 3 = 4 \cdot \frac { 5 } { 4 } + 5$$

Verify

Solution Steps

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

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

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

$$-2\times \frac{5+4}{4}+6\times \frac{5}{4}-3=4\times \frac{5}{4}+5$$

Add 5 and 4 to get 9.

$$-2\times \frac{9}{4}+6\times \frac{5}{4}-3=4\times \frac{5}{4}+5$$

Express -2\times \frac{9}{4} as a single fraction.

$$\frac{-2\times 9}{4}+6\times \frac{5}{4}-3=4\times \frac{5}{4}+5$$

Multiply -2 and 9 to get -18.

$$\frac{-18}{4}+6\times \frac{5}{4}-3=4\times \frac{5}{4}+5$$

Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{2}+6\times \frac{5}{4}-3=4\times \frac{5}{4}+5$$

Express 6\times \frac{5}{4} as a single fraction.

$$-\frac{9}{2}+\frac{6\times 5}{4}-3=4\times \frac{5}{4}+5$$

Multiply 6 and 5 to get 30.

$$-\frac{9}{2}+\frac{30}{4}-3=4\times \frac{5}{4}+5$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{2}+\frac{15}{2}-3=4\times \frac{5}{4}+5$$

Since -\frac{9}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+15}{2}-3=4\times \frac{5}{4}+5$$

Add -9 and 15 to get 6.

$$\frac{6}{2}-3=4\times \frac{5}{4}+5$$

Divide 6 by 2 to get 3.

$$3-3=4\times \frac{5}{4}+5$$

Subtract 3 from 3 to get 0.

$$0=4\times \frac{5}{4}+5$$

Cancel out 4 and 4.

$$0=5+5$$

Add 5 and 5 to get 10.

$$0=10$$

Compare 0 and 10.

$$\text{false}$$