Question 1167484

Write a fraction for which the sum of the numerator and denominator is 44, and the value of the fraction is 5/6
<pre>Let the numerator be N
Than the denominator = 44 - N
We then get: {{{matrix(1,3, N/(44 - N), "=", 5/6)}}}
6N = 5(44 - N) ------- Cross-multiplying
6N = 220 - 5N
11N = 220
Numerator or {{{matrix(1,5, N, "=", 220/11, "=", 20)}}}
Denominator: 44 - 20 = 24
{{{highlight_green(matrix(1,2, "Fraction:", 20/24))}}}