Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
1/5 =
2/3 =
1/5 + 2/3 =

Respuesta :

Answer:

3

Step-by-step explanation:

The fractions are: [tex]\frac{1}{5}[/tex] and [tex]\frac{2}{3}[/tex]. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: [tex]\frac{5}{15}[/tex] and [tex]\frac{10}{15}[/tex]. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in [tex]\frac{2}{3}[/tex], we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: [tex]\frac{1}{5}[/tex] + [tex]\frac{2}{3}[/tex]. We know it is the same as [tex]\frac{5}{15}[/tex] and [tex]\frac{10}{15}[/tex]. So now all we do is add the numerators together: 5+10=15 or [tex]\frac{15}{15}[/tex]. Now we have to reduce the fraction. [tex]\frac{15}{15}[/tex] can be reduced to 3 by dividing 15 by 5=3. The final fraction is [tex]\frac{3}{3}[/tex] or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!

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