Respuesta :
Dividing fractions and dividing mixed numbers can be similar, as mixed numbers can be represented as fractions.
For example, the mixed number 3 1/2 can be represented as the fraction 7/2, which you can then divide by the divisor in your problem:
(3 1/2) / (1/2) = (7/2) / (1/2) = 7
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Another way to look at dividing mixed numbers compared to fractions is like this: dividing a mixed number takes imagining how many of your divisor-fractions (like (1/2) above) the whole-number part of the mixed number (like 3 above) can hold:
The 3 in (3 1/2) can hold 6 (1/2)'s because (1/2) x 6 = (1/2) x (6/1) = (6/2) = 3
There is no difference between dividing fractions and dividing mixed numbers
Note that there are different types of fractions:
- Proper fraction: The numerator is less than the denominator eg 3/5
- Improper fraction: The denominator is less than the numerator eg 5/3
- Mixed fraction: It consists of a whole number and a proper fraction eg [tex]1\frac{3}{5}[/tex]
All the types of fractions can be converted from one form to another
As explained above, mixed numbers are also examples of fractions, and ways of dividing fraction are the same
[tex]\frac{2}{3} \div \frac{3}{5} \\\\\frac{2}{3} \times \frac{3}{5}\\\\= \frac{2}{5}[/tex]
If the two numbers to be divided are mixed fractions, they can be converted to improper fractions before the division operation is carried out
We can therefore conclude that there is no difference between dividing fractions and dividing mixed numbers
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