Question

Write the improper fraction as a mixed number in its simplest form. 32 — 22

Answer 1

32/22 is the improper fraction and it’s mixed number is 1 5/11 and it’s simplest form is 16/11

Answer 2

Answer: 1 5/11

Step-by-step explanation:

To make an improper fraction a mixed number, you basically divide the numerator by the denominator.

22 can only go into 32 once, leaving 10 left over. So, take the remaining ten, and keep the denominator, and there you have your mixed number.

$\frac{32}{22} = 1\frac{10}{22}$

BUT WAIT!!!

That fraction's not simplified, is it? Let's see what we can do with it, then!

10/22 can be reduced by finding the GCF, or the greatest common factor. Common factors are numbers that both quantities can be divided by to get another whole number. *(For example, the factors of 5 are 1 and 5. The factors of 10 are 1, 2 , 5, and 10. The common factors of 5 and 10 are 1 and 5. The greatest common factor, or GCF, of 5 and 10 is 5.)*

In this case, the GCF of 10 and 22 is 2. So we reduce the fraction by 2, by dividing both the numerator and the denominator by their GCF to get:

$\frac{10}{22} /\frac{2}{2} = \frac{5}{11}$

And there you have it! Your answer is:

$\frac{32}{22} = 1\frac{5}{11}$