Asked by Sean
A fraction greater than 1/8 and less than 1/4 is in simplest form and denominator is 4 more than its numerator...what is the fraction?
Answers
Answered by
jai
first, write inequality equations using the given statements/description:
let x = numerator
let x+4 = denominator
1/8 < x/(x+4) *fraction is greater than 1/8
x + 4 < 8x
7x > 4
x > 4/7
x/(x+4) < 1/4 *fraction is less than 1/4
4x < x + 4
3x < 4
x < 4/3
now, x is between 4/7 and 4/3 ,, we then find value of x which is a whole number (since numerator and denominator of a fraction are integers or whole numbers),, values between these two are:
4/6 , 4/5, 4/4
therefore the only whole number here in simplest form is 4/4 = 1 = x
the fraction is thus 1/5
so there,, :)
let x = numerator
let x+4 = denominator
1/8 < x/(x+4) *fraction is greater than 1/8
x + 4 < 8x
7x > 4
x > 4/7
x/(x+4) < 1/4 *fraction is less than 1/4
4x < x + 4
3x < 4
x < 4/3
now, x is between 4/7 and 4/3 ,, we then find value of x which is a whole number (since numerator and denominator of a fraction are integers or whole numbers),, values between these two are:
4/6 , 4/5, 4/4
therefore the only whole number here in simplest form is 4/4 = 1 = x
the fraction is thus 1/5
so there,, :)
Answered by
consquela
jai that was too complicated you do 1/8 which is nothing and get 1/4 and /4 and you do the math 4 goes into 4 1 time times 1 = 1 which the answer is one whole there ya go!
Answered by
Mika
SoOoO CoNfUsInG
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Bell
yup
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Daphne
sooo cONFUSING WOW MY MIND IS wow
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amelia
wow
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Suryansh
1/4 is greater
Answered by
annabelle
meh
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