A girl spent 1/4 of her money on bus fare and 2/3 of the remaining on drink.what fraction of her original money was 1- spent 2- left
Well, let's calculate it step by step in a funny way, shall we?
1- When the girl spent 1/4 of her money on bus fare, she must have felt like a "fare"-ly responsible spender! Because she was left with 3/4 of her original money.
2- But then, she went and spent 2/3 of the remaining money on drinks... She must have been really "thirsty" for a good time! This means she was left with 1/4 * 2/3 = 2/12 = 1/6 of her original money.
So, to sum it up:
1- The fraction of her original money spent is 1/4 + 2/12 = 3/12 + 2/12 = 5/12.
2- The fraction of her original money left is 1 - 5/12 = 12/12 - 5/12 = 7/12.
There you have it! The funny math journey of our spending girl.
To find the fraction of her original money that was spent, we need to add up the fractions for each expense.
The girl spent 1/4 of her money on bus fare.
Then, she spent 2/3 of the remaining money on a drink.
Let's calculate the fraction spent:
Fraction spent = Fraction spent on bus fare + Fraction spent on drink
Fraction spent = 1/4 + 2/3
To add these fractions, we need a common denominator. The least common multiple of 4 and 3 is 12.
Multiply the numerator and denominator of 1/4 by 3, and multiply the numerator and denominator of 2/3 by 4:
Fraction spent = (1 * 3) / (4 * 3) + (2 * 4) / (3 * 4)
Fraction spent = 3/12 + 8/12
Now, add the fractions:
Fraction spent = 3/12 + 8/12 = 11/12
Therefore, the fraction of her original money spent is 11/12.
To find the fraction of her original money left:
Fraction left = 1 - Fraction spent
Fraction left = 1 - 11/12
To subtract fractions, we need a common denominator. The denominator of 11/12 is already 12, so we can subtract directly:
Fraction left = 12/12 - 11/12
Fraction left = 1/12
Therefore, the fraction of her original money left is 1/12.
To determine the fractions of the original money that was spent and left, we need to follow these steps:
Step 1: Determine the fraction of money spent on bus fare.
Given that the girl spent 1/4 of her money on bus fare, the fraction of her original money spent on bus fare is 1/4.
Step 2: Determine the fraction of money remaining after bus fare.
To find the fraction of money remaining, we need to subtract the fraction spent (1/4) from 1 (whole):
1 - 1/4 = 4/4 - 1/4 = 3/4
So, after spending 1/4 of her money on bus fare, the girl has 3/4 of her original money remaining.
Step 3: Determine the fraction of money spent on drinks.
Given that the girl spent 2/3 of the remaining money on drinks, we need to multiply the remaining fraction (3/4) by 2/3:
(3/4) * (2/3) = 6/12 = 1/2
Therefore, the girl spent 1/2 of her remaining money (3/4) on drinks.
Step 4: Determine the fraction of money left.
To find the fraction of money left, we need to subtract the fraction spent on drinks (1/2) from the remaining fraction (3/4):
(3/4) - (1/2) = (3/4) - (2/4) = 1/4
So, after spending 2/3 of the remaining money on drinks, the girl has 1/4 of her original money left.
In summary:
1. The fraction of her original money spent is 1/4.
2. The fraction of her original money left is 1/4.
spend 1/4 then 3/4 left
spend 2/3 *3/4 =1/2 total spent then 1/2 left
That was easy !