Answer: four-fifteenths or [tex]\frac{4}{15}[/tex]
Step-by-step explanation:
What is written with words is mathematically expressed as:
[tex]\frac{9}{15}-\frac{2}{6}[/tex]
We can simplify both fractions, by dividing the numerator and denominator of the first by 3 and dividing the numerator and denominator of the second by 2:
[tex]\frac{9}{15}=\frac{3}{5}[/tex]
[tex]\frac{2}{6}=\frac{1}{3}[/tex]
Then:
[tex]\frac{3}{5}-\frac{1}{3}[/tex]
Calculating the least common multiple (l.c.m) in the denominator as [tex]15[/tex]:
[tex]\frac{9-5}{15}=\frac{4}{15}[/tex] This is the result: four-fifteenths