Question

reduce 3/ 1/3

Answer 1

This is the same as saying \[3\div \frac{ 1 }{ 3 }\]Write 3 as a fraction by placing the whole number over the number one.\[\frac{ 3 }{ 1}\]Your problem looks like this now.\[\frac{ 3 }{ 1}\div \frac{ 1 }{ 3}\]When you divide fractions, you invert the divisor, 1/3, and then multiply the two fractions.

Your problem looks like this now.\[\frac{ 3 }{1 }\times \frac{ 3 }{ 1 }=\frac{ 3\times3 }{ 1\times1 }\]Your problem looks like this now.
\[\frac{ 9 }{ 1 }\]Since fractions are just another way to write division, let's write it as a division problem.

Your problem looks like this:\[9\div1=9\]So \[\frac{ 3 }{ \frac{ 1 }{ 3 }}=9\]