Question

Tuesday,14/25 of the souvenirs purchased at the zoo gift shop were stuffed animals.Of the stuffed animals purchased 10/21 were bears.What fraction of the souvenirs purchased at the zoo gift shop on Tuesday were stuffed bears?Answer explain

Answer 1

Answer:

The fraction of the souvenirs purchased at the zoo's gift shop on Tuesday that were stuffed bears is $\frac{4}{15}$

Step-by-step explanation:

To determine the fraction of the souvenirs bought at the zoo's gift shop on Tuesday were bears, the fraction $\frac{10}{21}$ (the amount of stuffed animals bought) is multiplied by $\frac{14}{25}$ (number of stuffed animals bought as souvenier. It represents that, of the total of the stuffed animals purchased, $\frac{10}{21}$ are bears while the rest of the animals purchased can be any other animal.

$\frac{10}{21} *\frac{14}{25}$

The multiplication of two or more fractions is done "online". That is, the numerator of the first fraction by the numerator of the second and the denominator of the first fraction by the denominator of the second.

$\frac{10}{21} *\frac{14}{25} =\frac{10*14}{21*25} =\frac{140}{525}$

Fractions need to be reduced (or simplified), that is, to be transformed into a simpler equivalent fraction. If the numerator and denominator have a common factor (that is, both can be divided by the same number), you can reduce the fraction using that number. It can be done as many times as possible. When it can no longer be divided, what is called the irreducible fraction is reached, that is, a fraction that cannot be simplified or reduced further.  In this case the fraction $\frac{140}{525}$ will be reduced:

It is divided by 5:

$\frac{140 : 5}{525 : 5} =\frac{28}{105}$

It is divided by 7:

$\frac{28 : 7}{105 : 7} =\frac{4}{15}$

So

$\frac{140}{525} =\frac{4}{15}$

The fraction of the souvenirs purchased at the zoo's gift shop on Tuesday that were stuffed bears is $\frac{4}{15}$

Answer 2

That'd be 10/21 of the souvenirs purchased, or (10/21)(14/25).  This is 

2*5      2*7          4
----- * ------- = --------- after reduction of the fractions.
3*7      5*5         15