What is 245*(1+2*0.05)^{-1} ?

The solution to 245*(1+2*0.05)^{-1} is 222.72727…

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simplify 245(1+20.05)^{-1}

simplify

245 \cdot (1 + 2 \cdot 0.05)^{- 1}

222.72727 \dots

Solution steps

245 (1 + 2 \cdot 0.05)^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= 245 \cdot \frac{1}{( 1 + 2 \cdot 0.05 )}

1 + 2 \cdot 0.05 = 1.1

= 245 \cdot \frac{1}{1.1}

Multiply fractions:

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

= \frac{1 \cdot 245}{1.1}

Multiply the numbers:

1 \cdot 245 = 245

= \frac{245}{1.1}

Divide the numbers:

\frac{245}{1.1} = 222.72727 \dots

= 222.72727 \dots

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