Question

7 4/5 ÷ 1 11/5 Multiplying and diving mixed numbers

Answer 1

Operations with mixed numbers

Mixed numbers are expressed as integers followed by an improper fraction

The number

`7(4)/(5)`

can be transformed into an improper fraction as follows:

`7(4)/(5)=7+(4)/(5)=(7\cdot5+4)/(5)=(39)/(5)`

Now transform the next fraction:

`1(11)/(5)=1+(11)/(5)=(5+11)/(5)=(16)/(5)`

Now we have both numbers as fractions, we proceed to divide them. Dividing is similar to multiply by the reciprocal of the denominator.

We'll divide the numbers as follows:

`((39)/(5))/((16)/(5))=(39)/(5)\cdot(5)/(16)=(39)/(16)`

The last result came when simplifying by 5

Answer: 39/16