what is the reciprocal of 5 2/5?
2007-12-29 03:03:25 · 11 answers · asked by Anthony K 1 in Science & Mathematics ➔ Mathematics
y = 5 2/5 = 27/5
1/y = 5/27
2007-12-31 00:49:21 · answer #1 · answered by Como 7 · 0⤊ 0⤋
First convert to an improper fraction:
5 2/5 = 5 + 2/5 = 25/5 + 2/5 = 27/5
The reciprocal is just the fraction turned upside down, 5/27.
2007-12-29 11:09:07 · answer #2 · answered by Andy J 7 · 2⤊ 0⤋
First 5 2/5 = 27/5.
So, reciprocal is 1/(27/5) = 5/27.
2007-12-29 11:16:49 · answer #3 · answered by yljacktt 5 · 0⤊ 0⤋
The reciprical of a fraction is the fraction we get if we flip it upside down. But 5 2/5 isnt easy to flip, its not a fraction! So we must convert it into an improper fraction (your teacher might call it something else). 5 2/5 is the same as 5 wholes and 2 fifths.
How many fifths in one whole? Why 5 of course. so how many fifths in 5 wholes? Well 5 * 5 is 25. So we have 25/5 + 2/5 which is 27/5. Now we have a fraction! And do find its reciprical all we have to do is flip it, so our answer is 5/27
2007-12-29 11:11:27 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Since a lot of people already used the most efficient method, I'll present an inefficient method, for presentation purposes.
5 2/5 can also be represented as 5 + (2/5).
The reciprocal of any number is one over it. All we have to do is solve this expression:
1 / [ 5 + (2/5) ]
This is a complex fraction (fraction within fraction). Multiply top and bottom by 5 to get rid of all fractions.
5 / [ 25 + 2 ]
Which simplifies as
5/27
As inefficient as this is, it is helpful in learning complex fractions in later math if this method is understood.
2007-12-29 11:17:47 · answer #5 · answered by Puggy 7 · 0⤊ 0⤋
look at the 5 first. 5 is the same thing as 25/5.
Add the 2/5 part and you have 27/5.
The reciprocal is 1/(267/5) which, when you multiply by 5/5 yields 5/27.
2007-12-29 11:16:09 · answer #6 · answered by MVB 6 · 0⤊ 1⤋
5 and 2/5 = 25/5+2/5=27/5
The reciprocal would be 5/27.
2007-12-29 11:13:35 · answer #7 · answered by Anonymous · 0⤊ 0⤋
first, change 5 2/5 into an improper fraction, which is 27/5. now that you have the improper fraction, flip the two number. the reciprocal is 5/27.
2007-12-29 11:10:09 · answer #8 · answered by Sean 2 · 0⤊ 0⤋
5/27
2007-12-29 11:30:53 · answer #9 · answered by someone else 7 · 0⤊ 0⤋
5 2/5
now, it is mixed fraction so we have to convert into improper fraction
i.e.5X5 from down=25 and down to up 25+2=27
therefore=27/5
the reciprocal = 5/27 i.e.from improper v changed into proper fraction
2007-12-29 11:44:34 · answer #10 · answered by Anonymous · 0⤊ 0⤋