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After retiring from work, Jason spends 1/3 of his savings on travel he spend 1/4 of remains savings on buy a car what the fraction of his savings
Answers
Answer:
The answer is simple. There are two concepts to illustrate. First of all, we need to keep in mind that we started with a whole (represented by the quantity 1/1). Then we subtract the first quantity (represented by 2/5). We set up the equation as 1 - (2/5). We need to then convert the whole into a fraction form with a common denominator (bottom part of the fraction) by representing it as 5/5. Now that you have a common denominator, you subtract the numerator (top part of the fraction). That gives us: (5/5) - (2/5)= (3/5). So we end up with 3/5 remaining. Then to calculate the next part of the equation, we set up a simple equation to try to determine what part remains. Remember that Jane is now using 1/3 of what is remaining to buy a gift for her sister. We can represent this by subtracting 1/3 from the whole. 1 - (1/3) = (3/3) - (1/3) = (2/3). So in order to find the remaining portion of her savings, we'll multiply (2/3) by the (3/5) that remains after buying the first gift. So we represent this by (2/3) * (3/5). We evaluate this by multiplying both the numerators and denominators respectively. That gives us: (2/3) * (3/5) = (6/15). This can be reduced to 2/5. So Jane has 2/5 of her savings remaining.
Step-by-step explanation:
Jason has of his savings remaining after spending on travel and on buying a car.
Let's assume that Jason's total savings before spending any money is represented by the whole unit (1).
If he spends 1/3 of his savings on travel, that means he has 2/3 of his savings remaining.
Now, he spends 1/4 of his remaining savings on buying a car.
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Therefore, Jason spends 1/6 of his total savings on buying a car.
The fraction of his savings remaining after buying the car would be:
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So, Jason has 1/2 of his savings remaining after spending 1/3 on travel and 1/4 on buying a car.
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