Question

2 1/6+2 5/126 2/15+42 18/254​

Answer 1

$\frac{13}{6} + \frac{29}{12} = \frac{26}{12} + \frac{29}{12} = \frac{55}{12} = 4\frac{7}{12}$

$\frac{92}{15} + \frac{10686}{254} = \frac{23368}{3810} + \frac{160290}{3810} = \frac{183658}{3810} = 48\frac{778}{3810}$

Answer 2

To add these mixed numbers and fractions together, you'll need to convert the mixed numbers to improper fractions, find a common denominator, and then add the fractions. Here's how you can do it step by step:

1. Convert the mixed numbers to improper fractions:

   • 2 1/6 = (2 * 6 + 1) / 6 = 13/6
   • 2 5/12 = (2 * 12 + 5) / 12 = 29/12
   • 2/15 remains the same as it's already a fraction.
   • 42 18/25 = (42 * 25 + 18) / 25 = 1068/25

2. Find a common denominator for all the fractions. In this case, the least common denominator is 180. So, we need to rewrite all the fractions with a denominator of 180:

   • 13/6 = (13/6) * (30/30) = 390/180
   • 29/12 = (29/12) * (15/15) = 435/180
   • 2/15 = (2/15) * (12/12) = 24/180
   • 1068/25 = (1068/25) * (7.2/7.2) = 18396/180

3. Now, all fractions have a common denominator of 180:

   • 390/180
   • 435/180
   • 24/180
   • 18396/180

4. Add the fractions:

   (390/180) + (435/180) + (24/180) + (18396/180)

To add the fractions, you can simply add their numerators while keeping the common denominator:

(390 + 435 + 24 + 18396) / 180

5. Add the numerators:

   19045 / 180

6. Simplify the fraction if possible. Both the numerator and denominator can be divided by 5:

   (19045 ÷ 5) / (180 ÷ 5) = 3809/36

7. Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:

   3809/36

So, the sum of the given mixed numbers and fractions is equal to 3809/36, which can also be expressed as an improper fraction as shown above.