What is factor 1/49-2^2 ?

The solution to factor 1/49-2^2 is -195/49

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factor 1/49-2^2

factor

\frac{1}{49} - 2^{2}

- \frac{195}{49}

Decimal Notation

- 3.97959 \dots

Solution steps

\frac{1}{49} - 2^{2}

2^{2} = 4

= \frac{1}{49} - 4

Convert element to fraction:

4 = \frac{4 \cdot 49}{49}

= - \frac{4 \cdot 49}{49} + \frac{1}{49}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 4 \cdot 49 + 1}{49}

- 4 \cdot 49 + 1 = - 195

= \frac{- 195}{49}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{195}{49}

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