Answer:
12/35
Explanations:
From the question, Carlos had 6/7 of a spool of yarn.
If he used 2/5 of his yarn for a project, the fraction of the spool that was used for the project is expressed as:
[tex]\begin{gathered} \text{fraction used as project = }\frac{2}{5}\times\frac{6}{7} \\ \text{fraction used as project }=\frac{12}{35} \end{gathered}[/tex]Hence the fraction of the spool was used for the project in its simplest form is 12/35