adding fractions

recca · #1 $Old$ May 9th, 2008, 09:32 AM

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

flyingsquirrel · #2 $Old$ May 9th, 2008, 09:55 AM

Hi

Quote:

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...)

recca · #3 $Old$ May 9th, 2008, 09:58 AM

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.

colby2152 · #4 $Old$ May 9th, 2008, 10:02 AM

Quote:

Originally Posted by flyingsquirrel $View Post$

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.

masters · #5 $Old$ May 9th, 2008, 10:07 AM

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.