Answer: 1 & 3/4
We can write this as
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Step-by-step explanation
Consider this: You have 7 donuts and 4 friends you want to split the donuts with. The question is, how many donuts does each of your friends get?
The number 7 isn't a multiple of 4, meaning 7/4 won't result in a whole number. If you had one more donut, then 8/4 = 2 is a whole number. So that must mean everyone only gets one whole donut plus some leftover amount.
If those 4 friends get 1 whole donut each, then 4*1 = 4 donuts are passed out and 7-4 = 3 are left over. The "1" forms the whole part of the mixed number, while the '3' is the numerator of the fraction. The denominator stays the same at 4.
So we go from the improper fraction 7/4 to the mixed number 1 & 3/4. Each person gets 1 whole donut and then 3/4 of a whole donut
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We can write the mixed number 1 & 3/4 as
. Keep in mind that this expression does not mean 1 times 3/4. Instead, it really is saying 1 + (3/4).