Solve -1=-2/7(6)+6

$$- 1 = - \frac { 2 } { 7 } ( 6 ) + 6$$

Verify

Solution Steps

Express -\frac{2}{7}\times 6 as a single fraction.

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

Multiply -2 and 6 to get -12.

$$-1=\frac{-12}{7}+6$$

Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$-1=-\frac{12}{7}+6$$

Convert 6 to fraction \frac{42}{7}.

$$-1=-\frac{12}{7}+\frac{42}{7}$$

Since -\frac{12}{7} and \frac{42}{7} have the same denominator, add them by adding their numerators.

$$-1=\frac{-12+42}{7}$$

Add -12 and 42 to get 30.

$$-1=\frac{30}{7}$$

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

$$-\frac{7}{7}=\frac{30}{7}$$

Compare -\frac{7}{7} and \frac{30}{7}.

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