Solve 4=3/7-1/4*2

$$4 = \frac { \frac { 3 } { 7 } - 1 } { 4 } \cdot 2$$

Verify

Solution Steps

Multiply both sides of the equation by 4.

$$16=\left(\frac{3}{7}-1\right)\times 2$$

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

$$16=\left(\frac{3}{7}-\frac{7}{7}\right)\times 2$$

Since \frac{3}{7} and \frac{7}{7} have the same denominator, subtract them by subtracting their numerators.

$$16=\frac{3-7}{7}\times 2$$

Subtract 7 from 3 to get -4.

$$16=-\frac{4}{7}\times 2$$

Express -\frac{4}{7}\times 2 as a single fraction.

$$16=\frac{-4\times 2}{7}$$

Multiply -4 and 2 to get -8.

$$16=\frac{-8}{7}$$

Fraction \frac{-8}{7} can be rewritten as -\frac{8}{7} by extracting the negative sign.

$$16=-\frac{8}{7}$$

Convert 16 to fraction \frac{112}{7}.

$$\frac{112}{7}=-\frac{8}{7}$$

Compare \frac{112}{7} and -\frac{8}{7}.

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