Solve -6/10*-2/7+2/5=frac{-2/7-1}{3}+1

$$\frac{ -6 }{ 10 } \times \frac{ -2 }{ 7 } + \frac{ 2 }{ 5 } = \frac{ \frac{ -2 }{ 7 } -1 }{ 3 } +1$$

Verify

Solution Steps

Multiply both sides of the equation by 210, the least common multiple of 10,7,5,3.

$$-18\left(-2\right)+84=70\left(\frac{-2}{7}-1\right)+210$$

Multiply -18 and -2 to get 36.

$$36+84=70\left(\frac{-2}{7}-1\right)+210$$

Add 36 and 84 to get 120.

$$120=70\left(\frac{-2}{7}-1\right)+210$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$120=70\left(-\frac{2}{7}-1\right)+210$$

Convert 1 to fraction \frac{7}{7}.

$$120=70\left(-\frac{2}{7}-\frac{7}{7}\right)+210$$

Since -\frac{2}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$120=70\times \frac{-2-7}{7}+210$$

Subtract 7 from -2 to get -9.

$$120=70\left(-\frac{9}{7}\right)+210$$

Express 70\left(-\frac{9}{7}\right) as a single fraction.

$$120=\frac{70\left(-9\right)}{7}+210$$

Multiply 70 and -9 to get -630.

$$120=\frac{-630}{7}+210$$

Divide -630 by 7 to get -90.

$$120=-90+210$$

Add -90 and 210 to get 120.

$$120=120$$

Compare 120 and 120.

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