Question

simplify 4 2/3 - 3 1/4 + 2 1/6

Answer 1

$4 \frac{2}{3 } + 3 \frac{1}{4} + 2 \frac{1}{6}$
$= \frac{14}{3} + \frac{13}{4} + \frac{13}{6}$
$= \frac{14 \times 4}{3 \times 4 } + \frac{13 \times 3}{4 \times 3} + \frac{13 \times 2}{6 \times 2}$
=42/12+39/12+26/12
=107/12

Answer 2

Answer:

=> The simplified value is $\frac{43}{12}$

Step-by-step explanation:

Given that:-

$4\frac{2}{3}-3\frac{1}{4} +2\frac{1}{6}$

To simplify $4\frac{2}{3}-3\frac{1}{4} +2\frac{1}{6}$,

As the given expression is the mixed fractions:

Converting mixed fraction to improper fraction:

$=> 4\frac{2}{3}=\frac{14}{3} \\=> 3\frac{1}{4} =\frac{13}{4} \\=> 2\frac{1}{6}=\frac{13}{6}$

So, it is written as:

$=> \frac{14}{3} -\frac{13}{4}+\frac{13}{6}$

By taking LCM,

$=> \frac{14\times 4}{3\times 4} +\frac{-13\times 3}{4\times 3}+\frac{13\times 2}{6\times 2}$

Multiply the numbers:

$=> \frac{56}{12}+\frac{-39}{12} +\frac{26}{12}$

Combining the fractions we get,

$=> \frac{56+(-39)+26}{12}$

Adding the terms in numerator,

$=> \frac{43}{12}$

Hence, the required solution is $\frac{43}{12}.$