When water freezes

Algebra Level 2

Water increases its volume by 1 11 \frac{1}{11} when freezing. Therefore, by what part of its volume will ice decrease when it melts and turns back into water?

1 8 \frac{1}{8} 1 10 \frac{1}{10} 1 12 \frac{1}{12} 1 9 \frac{1}{9} 1 11 \frac{1}{11}

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

Hana Wehbi
Aug 6, 2018

The volume of water before freezing is 1.

The volume of water after it freezes is 1 + 1 11 = 12 11 1+\frac{1}{11}=\frac{12}{11}

The volume of the ice when it melts is 1 again.

Therefore, the required part is 1 11 12 11 = 1 12 \frac{\frac{1}{11}}{\frac{12}{11}}=\frac{1}{12}

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