Respuesta :

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

We can solve this problem by putting both fractions under a common denominator. Since one fraction already has 15 as a denominator and since 15/3=5, 15 will be our denominator:

[tex]\frac{4}{5}*\frac{3}{3} =\frac{12}{15}[/tex]

Let's now combine the two fractions!

[tex]\frac{12}{15} -\frac{2}{15} =\frac{10}{15}=\frac{2}{3}[/tex]

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The given expression is

[tex]\frac{4}{5}-\frac{2}{15}[/tex]

We need the find the value of above expression.

Denominator terms are 5 and 15.

LCM(5,15) = 15

Now we need to make common denominator, i.e., 15.

Multiply and divide the first term of the expression by 3.

[tex]\frac{4\times 3}{5\times 3}-\frac{2}{15}[/tex]

[tex]\frac{12}{15}-\frac{2}{15}[/tex]

On further simplification we get

[tex]\frac{12-2}{15}[/tex]

[tex]\frac{10}{15}[/tex]

Cancel out common factors.

[tex]\frac{2}{3}[/tex]

Therefore the value of given expression is 2/3.