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What's 3/8 minus 3/4

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2 Answers

Hi Nafis!
 
Here are two ways of thinking about it:
 
1)  Imagine 3/8 as 3/8 of a pizza.  Pizzas usually are broken into 8 slices, so 3/8 of a pizza is 3 slices.  Similarly, 3/4 of a pizza is (think about it) 6 slices.  So the problem is basically:
 
3 slices minus 6 slices
 
But you only have 3 slices to give!  So if you try to minus more than you have to give, you owe slices.  In this case, if you have 3 slices and you minus 6, you give all your slices away and still end up owing 3 slices.  That's -3 slices.  But slices are parts of a pizza so the answer is -3/8
 
2) 3/8 - 3/4 .  Find a *common denominator* --> in this case, 8.  Convert the 3/4 into an equal fraction with an 8 in the denominator by multiplying both numerator and denominator by 2.  Then the problem becomes:

3/8 - 6/8
 
Then, since 3 - 6 = -3, combine the numerators and you get:
 
-3/8
 
I hope at least one of those was helpful to you!  :)