Respuesta :

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