Question

2 4/9 + 1/6=1 3/5 + 10 1/4=4 1/4 + 2/9=​

Answer 1

$2\frac{4}{9} +\frac{1}{6} = \frac{47}{18} =2 \frac{11}{18}$

$1\frac{3}{5} +10\frac{1}{4} = \frac{237}{20} =11 \frac{17}{20}$

$4\frac{1}{4} + \frac{2}{9} =\frac{161}{36} = 4 \frac{17}{36}$

Answer 2

Let's solve each of these addition problems step by step:

1. $2 \frac{4}{9} + \frac{1}{6}$ To add these fractions, we first need to find a common denominator, which in this case is 18.

   $2 \frac{4}{9} = \frac{18}{9} + \frac{4}{9} = \frac{18 + 4}{9} = \frac{22}{9}$

   Now, we can add $\frac{22}{9}$ and $\frac{1}{6}$ together:

   $\frac{22}{9} + \frac{1}{6}$

   To add these fractions, we need a common denominator, which is 18 (the least common multiple of 9 and 6).

   Convert $\frac{1}{6}$ to an equivalent fraction with a denominator of 18:

   $\frac{1}{6} = \frac{3}{18}$

   Now, add the fractions:

   $\frac{22}{9} + \frac{3}{18} = \frac{44}{18} + \frac{3}{18} = \frac{44 + 3}{18} = \frac{47}{18}$

   So, $2 \frac{4}{9} + \frac{1}{6} = \frac{47}{18}$.

2. $1 \frac{3}{5} + 10 \frac{1}{4}$ First, add the whole numbers together:

   $1 + 10 = 11$

   Now, add the fractions:

   $\frac{3}{5} + \frac{1}{4}$

   To add these fractions, we need a common denominator, which is 20 (the least common multiple of 5 and 4).

   Convert $\frac{3}{5}$ to an equivalent fraction with a denominator of 20:

   $\frac{3}{5} = \frac{12}{20}$

   Now, add the fractions:

   $\frac{12}{20} + \frac{1}{4} = \frac{12}{20} + \frac{5}{20} = \frac{12 + 5}{20} = \frac{17}{20}$

   So, $1 \frac{3}{5} + 10 \frac{1}{4} = 11 \frac{17}{20}$.

3. $4 \frac{1}{4} + \frac{2}{9}$ First, add the whole numbers together:

   $4 + 0 = 4$

   Now, add the fractions:

   $4 \frac{1}{4} + \frac{2}{9}$

   To add these fractions, we need a common denominator, which is 36 (the least common multiple of 4 and 9).

   Convert $\frac{1}{4}$ to an equivalent fraction with a denominator of 36:

   $\frac{1}{4} = \frac{9}{36}$

   Now, add the fractions:

   $4 \frac{9}{36} + \frac{2}{9} = 4 \frac{9}{36} + 4 \frac{8}{36}$