samaira spends2/5 of her pocket money to buy chocolates and gives1/9 of the remaining money to her sister she spends 3/4 of the rest of the money to buy a book and saves rest of it the fraction of money saved by her is
starting with 1,
after chocolates, 3/5 remains
after gift to sister, she has 8/9 * 3/5 = 8/15
after books, she has 1/4 * 8/15 = 2/15
To find the fraction of money saved by Samaira, we need to follow these steps:
Step 1: Calculate the fraction of money Samaira spends on chocolates.
She spends 2/5 of her pocket money on chocolates.
Step 2: Calculate the remaining money after buying chocolates.
To do this, we need to subtract the fraction spent on chocolates (2/5) from 1 (whole amount).
1 - 2/5 = (5/5) - (2/5) = 3/5
The remaining money is 3/5 of her pocket money.
Step 3: Calculate the fraction given to her sister.
She gives 1/9 of the remaining money to her sister.
To find the fraction given to her sister, we multiply the remaining money (3/5) by the fraction given (1/9).
(3/5) * (1/9) = 3/45
The fraction given to her sister is 3/45 of her pocket money.
Step 4: Calculate the money left after giving to her sister.
To find the money left, we need to subtract the fraction given to her sister (3/45) from the remaining money (3/5).
(3/5) - (3/45) = (27/45) - (3/45) = 24/45
The money left after giving to her sister is 24/45 of her pocket money.
Step 5: Calculate the fraction spent on buying a book.
She spends 3/4 of the remaining money to buy a book.
To find the fraction spent on the book, we multiply the money left (24/45) by the fraction spent (3/4).
(24/45) * (3/4) = 72/180 = 4/10 = 2/5
The fraction spent on buying the book is 2/5 of her pocket money.
Step 6: Calculate the fraction of money saved.
To calculate the fraction of money saved, we need to subtract the fraction spent on the book (2/5) from 1 (whole amount).
1 - 2/5 = (5/5) - (2/5) = 3/5
Therefore, the fraction of money saved by Samaira is 3/5 of her pocket money.