Question

1) 3 1/2 + 1 5/6 2) 4 2/5 + 9 3/7

Answer 1

1) 3 1/2+1 5/6=3 2/6+1 5/6=
=4 7/6=5 1/6

2) 4 2/5+9 3/7=4 14/35+9 15/35=
=13 29/35

Answer 2

Sure, I'd be happy to help you with those addition problems:

1. $3 \frac{1}{2} + 1 \frac{5}{6}$ To add these fractions, we first need to convert the mixed numbers to improper fractions:

$3 \frac{1}{2} = \frac{7}{2}$ $1 \frac{5}{6} = \frac{11}{6}$

Now, we can add the fractions:

$\frac{7}{2} + \frac{11}{6} = \frac{21}{6} + \frac{11}{6} = \frac{32}{6}$

Now, we can simplify the fraction:

$\frac{32}{6} = \frac{16}{3}$

So, $3 \frac{1}{2} + 1 \frac{5}{6} = 4 \frac{2}{3}$

2. $4 \frac{2}{5} + 9 \frac{3}{7}$ Similarly, we'll convert the mixed numbers to improper fractions:

$4 \frac{2}{5} = \frac{22}{5}$ $9 \frac{3}{7} = \frac{66}{7}$

Now, let's add the fractions:

$\frac{22}{5} + \frac{66}{7}$

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 5 and 7 is 35.

Converting both fractions to have a denominator of 35:

$\frac{22}{5} \times \frac{7}{7} = \frac{154}{35}$ $\frac{66}{7} \times \frac{5}{5} = \frac{330}{35}$

Now, we can add the fractions:

$\frac{154}{35} + \frac{330}{35} = \frac{484}{35}$

Now, we can simplify the fraction:

$\frac{484}{35} = \frac{44}{5}$

So, $4 \frac{2}{5} + 9 \frac{3}{7} = 13 \frac{4}{5}$