# Thread:

1. ## adding fractions

Show how to solve 5 3/4+ 1 2/3 in two different ways. In each case, express your answer as a mixed number. Explain why both of the methods are legitimate.

Thank you

The numbers above are fractiones

2. Hi

how to solve 5 3/4+ 1 2/3 in two different ways
What are you supposed to solve ? (there is no $=$ sign, no unknown...)

3. Its in form of a fraction so its
3 2
5-- + 1---
4 3

They want the answer to be expressed as a mixed number.

4. Originally Posted by flyingsquirrel
Hi

What are you supposed to solve ? (there is no $=$ sign, no unknown...)
The OP meant simplify.

In this case....

$5 \frac{3}{4} + 1 \frac{2}{3}$

Simplifies to:

$\frac{20+3}{4} + \frac{3+2}{3}$

$\frac{23}{4} + \frac{5}{3}$

LCD is 12

$\frac{69}{12} + \frac{20}{12}$

$\frac{89}{12}$

$7 \frac{5}{12}$

Another way to do this is to find the LCD when they are mixed numbers, and then simplify them to normal fractions.

5. 5 3/4 + 1 2/3 = (5 + 1) + (3/4 + 2/3) = 6 + (9/12 + 8/12) = 6 + 17/12 = 7 + 5/12 = 7 5/12.
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