Respuesta :

1. first make the denominators of the set the same. 
E.g. [tex] \frac{2}{7}+ \frac{4}{3} [/tex] = [tex] \frac{6}{21} + \frac{28}{21} [/tex] = [tex] \frac{34}{21} [/tex]

2. Divide the total by the number of fractions added together: In this case it was 2 so:
[tex] \frac{34}{21} * \frac{1}{2} [/tex]  =  [tex] \frac{34}{42} [/tex]

3. Simplify the total: [tex] \frac{17}{21} [/tex]

Answer:

Average of number is equal to sum of numbers by total no.

i.e., [tex]Average\,=\,\frac{Sun\,of\,numbers}{Total\,no}[/tex]

Now when numbers/amounts are fraction then there is one extra step which is to add the fractions.

Lets say we have to find average of 2 fractions i.e., [tex]\frac{3}{4}\,,\,\frac{5}{3}[/tex]

[tex]\implies\,Average\,=\,\frac{\frac{3}{4}+\frac{5}{3}}{2}[/tex]

Step 1 : First to add the fractions find the LCM of denominator as There are unlike fractions

3 = 1 × 3

4 = 1 × 4

LCM of 3 and 4 = 3 × 4 = 12

Step 2: To make them like fraction we find equivalent fraction of each fraction whose denominator equal to 12

[tex]\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}[/tex]

[tex]\frac{5}{3}\times\frac{4}{4}=\frac{20}{12}[/tex]

Step 3: Adding both fractions

[tex]\frac{9}{12}+\frac{20}{12}=\frac{9+20}{12}=\frac{29}{12}[/tex]

Step 4: put these value in average formula

[tex]\implies\,Average\,=\,\frac{\frac{29}{12}{2}[/tex]

Step 5: Now we divide [tex]\frac{29}{12}[/tex] by 2 using fraction division .i.e., multiply the reciprocal of divisor with dividend

here 2 is divisor

Reciprocal = [tex]\frac{1}{2}[/tex]

[tex]\imples Average=\frac{29}{12}\times\frac{1}{2}=\frac{29\times1}{12\times2}=\frac{29}{24}[/tex]

Following these steps Average of fractional amount of any no can be found.

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