128k views
0 votes
Question 1 of 20 :

Select the best answer for the question.
1. What is 7/4 as a mixed number?
A. 13/
B.314
c. 17/4.
D. 11/4
Mark for review Will be highlighted on the review page)
Next Question >>

User Wouter
by
3.5k points

1 Answer

4 votes

Answer: 1 & 3/4

We can write this as
1 (3)/(4)

============================================

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

------------

We can write the mixed number 1 & 3/4 as
1 (3)/(4). Keep in mind that this expression does not mean 1 times 3/4. Instead, it really is saying 1 + (3/4).

User Ace
by
3.4k points