Olivia gave 1/10 of her stamp collection to her brother and 4/5 of her collection to her sister.What fraction of her stamp collection did Olivia give away?

Respuesta :

Answer:

olivia gave away 90% of her stamp collection

Step-by-step explanation:

The fraction of stamps given by Olivia can be determine by adding the fraction given to her brother and the fraction given to her sister.

The fraction of her stamp collection is given [tex]\frac{9}{10}[/tex].

Given:

The fraction given to her brother is [tex]\frac{1}{10}[/tex].

The fraction given to her sister is [tex]\frac{4}{5}[/tex].

Let the [tex]x[/tex] is the fraction total fraction given by Olivia.

Calculate the total fraction given by Olivia.

[tex]x=\frac{1}{10}+\frac{4}{5}\\x=\frac{45}{50}\\x=\frac{9}{10}[/tex]

Convert the above fraction in to percentage.

[tex]\begin{aligned}x=\frac{9}{10}\times 100\\x=90\% \\\end[/tex]

 

Thus, the fraction of her stamp collection is given [tex]\frac{9}{10}[/tex]  or [tex]90\%[/tex].

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