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Human bones ae 3/10 living tissues, 9/20 minerals, and the rest is water. What fraction of the human bone is water?

User Intale
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1 Answer

5 votes

Answer:

1/4 of the human bone is water.

Explanation:

We know that the total fraction must add up to 1, which represents the entire bone.

Thus, we can determine the fraction of human bone that is water by subtracting the sum of 3/10 and 9/20 from 1

  • Note that I'll do some conversions to fractions with the same denominator since having fractions with the same denominator allows you to add the numerators directly:

Fraction = 1 - (3/10 + 9/20)

  • Multiplying 3/10 by 2/2 gives us 6/20:

Fraction = 1 - (6/20 + 9/20)

Fraction = 1 - 15/20

  • Multiplying 1 by 20/20 gives us 20/20:

Fraction = 20/20 - 15/20

Fraction = 5/20

  • The greatest common factor of 5 and 20 is 5.
  • Thus, we reduce the fraction by diving both the numerator and denominator by 5:

Fraction = (5 ÷ 5) / (20 ÷ 5)

Fraction = 1/4

Therefore, 1/4 of the human bone is water.

User Hubris
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