Question

What is 4 1/6 + 5 3/7

Answer 1

Answer:

$4\frac{1}{6}  + 5\frac{3}{7}  = 9\frac{24}{42}$

Step-by-step explanation:

Here, the given expression is $4\frac{1}{6}  + 5\frac{3}{7}$

Now,a mixed fraction can be converted into unlike fraction as

$a\frac{b}{c}   = \frac{ac + b}{c} \\\implies  4\frac{1}{6}   = \frac{4(6) + 1}{6}  =  \frac{25}{6}\\ 5\frac{3}{7}   = \frac{5(7) + 3}{6}  =  \frac{38}{7}$

So, the given expression becomes:

$\frac{25}{6} +  \frac{38}{7}$

Now, take the LCM of the denominators 6 and 7 to make a common denominator, we get

$\frac{25}{6} +  \frac{38}{7} = \frac{25(7)   + 38(6)}{42}   = \frac{175 + 228}{42}\\ =\frac{403}{42} \\= 9.6$

Hence, on solving the given expression, we get

$4\frac{1}{6}  + 5\frac{3}{7}  = 9\frac{24}{42}$