Question

Maria ate 1/3 of a pie her sister Rebecca ate 1/5 of that what fraction of the whole pie did Rebecca eat

Answer 1

Answer:1/5

Step-by-step explanation:

Answer 2

Answer:  

Rebecca ate $\frac{1}{15}$ th of a pie.

Solution:

Let assume quantity of a pie = x  

Given that Maria ate $\frac{1}{3}$ of a pie  

Which means quantity of pie which Maria ate = $\frac{1}{3} of x$

= $\frac{1}{3} \times x = \frac{x}{3}$

Quantity of pie Rebecca ate is $\frac{1}{5}$ of what Maria ate

Which means quantity of pie Rebecca ate = $\frac{1}{5}$ of (quantity of pie which Maria ate)

= $\frac{1}{5} of \frac{x}{3}$

= $\frac{1}{5} \times \frac{x}{3}$

= $\frac{x}{15}$

Fraction of whole pie Rebecca eat = quantity of pie Rebecca ate divide by total quantity

= (x/15) divided by x = $\frac{1}{15}$

Hence Rebecca ate  $\frac{1}{15}$ th of a pie.