Question

Find the average for the following mixed fractions

4 1/3, 1 2/5, 3 7/9

Enter solution as a mixed number or fraction in lowest terms

Answer 1

if we want to find average from the following mixed fractions

$$4 \frac {1}{2}, 1 \frac {2}{5}, 3 \frac {7}{9}.$$

We should add all fractions and divide them by 3.

So,

$$4 \frac {1}{3} + 1 \frac {2}{5} + 3 \frac {7}{9} = 4 \frac {15}{45} + 1 \frac {18}{45} + 3 \frac {35}{45} = 8 \frac {68}{45} = 9 \frac {23}{45}$$

then

$$(9 \frac {23}{45}) / 3 = 3 \frac {23}{45 + 3} = 3 \frac {23}{135}.$$

Answer: $3\frac{23}{135}$