The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of the garden, and milkweed in ⅛ of the garden. The fifth graders notice that the butterflies land on the clover, and milkweed. What fraction of the garden do the butterflies use?

Respuesta :

Answer:

Fraction of the garden used =  [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

milkweed grows in ⅛ of the garden

The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used =  [tex]\frac{1}{2} + \frac{1}{8}[/tex]

The LCM of 2 and 8 is 8

Fraction of the garden used =  [tex]\frac{4 +1}{8}[/tex]

Fraction of the garden used =  [tex]\frac{5}{8}[/tex]

Therefore, the butterflies used [tex]\frac{5}{8}[/tex] fraction of the garden.