How do you divide 6\div \frac { 1} { 3} 6÷13?

2 Answers
Mar 11, 2018

6/(1/3)=18613=18

Explanation:

We know this rule for dividing fractions:
(a/b)/(c/d)=a/b*d/cabcd=abdc

If we write the 66 as 6/161 we can use this rule:

6/(1/3)=(6/1)/(1/3)=6/1*3/1=18/1=18613=6113=6131=181=18

Mar 11, 2018

We can divide by a fraction by multiplying by the fraction's reciprocal.

Explanation:

A number's reciprocal can be thought of as flipping it upside down, i.e. The reciprocal of 1/212 is 2/121, and the reciprocal of 4/242 is 2/424.
Using this logic we can determine that the reciprocal of 1/313 is 3/131, or simply 33 .
Once we have found the reciprocal, it is simply a matter of multiplying out the the numbers: 6 * 363.
Therefore, 6 -: 1/3 = 186÷13=18.

Another Example:
5 -: 1/8 = 5 * 8/1 = 5 * 8 = 40.5÷18=581=58=40.