Question

Raina had 6/7 of a spool of yarn. She used 2/5 of her yarn for a project. What fraction of the spool was used for the project?Write your answer in simplest form.

Answer 1

Fractions

Raina had 6/7 of a spool of yarn. From that fraction, she used 2/5 for a project.

The fraction of the spool used for the project is obtained by multiplying both fractions:

`(6)/(7)\cdot(2)/(5)=(12)/(35)`

This fraction is in its simplest form. No reduction is possible because 12 and 35 are coprime.

Answer: 12/35