Question

Determine the value of the following expression.

$1\frac{1}{12}+3\frac{2}{3}$

Short answer

The value of the given expression is $\mathbf{4}\frac{\mathbf{3}}{\mathbf{4}}$.

Step-by-step solution

Step 1. Given information.

The given expression is:

$1\frac{1}{12}+3\frac{2}{3}$

Step 2. Write the concept.

To add or subtract the fraction, the denominator must be the same.

Step 3. Write a mixed fraction to fraction form.

The given expression can be written as in below:

$1\frac{1}{12}+3\frac{2}{3}=\frac{13}{12}+\frac{11}{3}$

Step 4. Solve the expression.

The expression $\frac{13}{12}+\frac{11}{3}$can be solved below:

$\begin{array}{l}\frac{13}{12}+\frac{11}{3}=\frac{13\times 1}{12\times 1}+\frac{11\times 4}{3\times 4}\\ =\frac{13}{12}+\frac{44}{12}\\ =\frac{13+44}{12}\\ =\frac{57}{12}\end{array}$

Therefore,

$\begin{array}{l}1\frac{1}{12}+3\frac{2}{3}=\frac{57}{12}\\ =4\frac{3}{4}\end{array}$