killa
  • killa
the reciprocal of 4 plus the reciprocal of 5 is the reciprocal of what number?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
9/20
killa
  • killa
can you please show me how you came up with that answer step by step?
anonymous
  • anonymous
Don't you have a math book or something to teach you how to add fractions? 1/4+1/5, their lowest common denominator is 20, so you multiple 1/4 by 5/5 and 1/5 by 4/4 to get 5/20+4/20

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anonymous
  • anonymous
The answer should actually be 20/9. The way the question is worded, you want the reciprocal of 9/20. In general, these word problems require a bit of set up. Let x be the number you’re looking for. Then the reciprocal of the number is 1/x. The reciprocal of 4 is 1/4 and the reciprocal of 5 is 1/5. So the problem says that 1/4 + 1/5 = 1/x. Adding the fractions as flyingpigg showed above, we see that 9/20 = 1/x, which is the reciprocal of x. But if 9/20 is the reciprocal of x, then x itself must be 20/9.

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