If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5 Find the number.

asked Nov 17, 2023 160k views

14 votes

If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5

Find the
number.

4.2k points

Please log in or register to add a comment.

10 votes

Answer:

Let the number be x:

then

$(5+x)/(7+x)=3/5\\5(5+x)=3(7+x)\\25+5x=21+3x\\5x-3x=21-25\\2x=-4\\x=-2$

4.7k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.4m questions

5.7m answers