Tuesday

June 28, 2016
Posted by **Sean** on Monday, October 25, 2010 at 8:33pm.

- 6th grade -
**jai**, Tuesday, October 26, 2010 at 12:34amfirst, 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,, :)