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

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- May 9th 2008, 07:32 AMreccaadding 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 - May 9th 2008, 07:55 AMflyingsquirrel
Hi

Quote:

how to solve 5 3/4+ 1 2/3 in two different ways

- May 9th 2008, 07:58 AMrecca
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. - May 9th 2008, 08:02 AMcolby2152
The OP meant simplify.

In this case....

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

Simplifies to:

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

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

LCD is 12

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

$\displaystyle \frac{89}{12}$

$\displaystyle 7 \frac{5}{12}$

Another way to do this is to find the LCD when they are mixed numbers, and then simplify them to normal fractions. - May 9th 2008, 08:07 AMmasters
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.