The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 4 is added to its denominator, the new number is ⅛. Find the rational number.

Question

Mathematics

Alice Carroll

30 September, 01:08

The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 4 is added to its denominator, the new number is ⅛. Find the rational number.

+3

Answers (1)

Know the Answer?

Kaiser · Answer 1

7/12.

Step-by-step explanation:

=x/x+5.

x-5/x+5+4=⅛

x-5/x+9=⅛

x-5=⅛ (x+9)

x-5=⅛x+1⅛

x-⅛x=1⅛+5

⅞x=49/8

7x=49

x=7

thus the initial fraction is x/x+5 = 7/12

A rational number is a fraction