Sunday

February 1, 2015

February 1, 2015

Posted by **David** on Tuesday, January 17, 2012 at 3:56am.

- Mathematics -
**Reiny**, Tuesday, January 17, 2012 at 7:54amLet the original fraction be x/y

equation #1 : (x-1)/(y-1) = 3/4

4x - 4 = 3y - 3

4x - 3y = 1

equation #2 : (x+1)/*(y+1) = 4/5

5x + 5 = 4y + 4

5x - 4y = -1

#1 times 4 :16x - 12y = 4

#2 times 3 : 15x - 12y = -3

subtract them ...

x = 7

back in #1

28 - 3y = 1

-3y = -27

y = 9

the fraction was 7/9

check:

6/8 = 3/4 ✔

8/10 = 4/5 ✔

**Answer this Question**

**Related Questions**

Mathematics - Find a fraction which reduces to 3/4 when the numerator and ...

math - Find a fraction that reduces to 3/4 when both the numerator and ...

math - the sum of numerator and denominator is 3 less than twice the denominator...

Maths - denominator of a fraction is 1 more than its numerator. the fraction ...

Maths - When the numerator and denominator of a fraction are each increased by 5...

MATH - the numerator of a fraction is one-half the denominator! If the numerator...

math - The numerator of a fractionis 5 less than twice the denominator. If the ...

Algebra - Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure this ...

Mathematics - The numerator of a fraction is two less than its denominator. When...

Calculus/College Algebra - I'm so lost. We're working on limits for this ...