##### Solving Equations with fractions

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

Algebra: Jill cut 3 1/2 ft chain into 2 pieces in order to hang 2 bird feeders. The longer piece of chain was 1 5/6 ft long. Tell how to write and solve an equation to find the length of the shorter piece.

Sep 14th, 2015

Let's write down what we know.

the total amount of chain is 3 1/2 ft

There are two piece of chains, let's call x=chain 1 and y=chain 2

we know that the longer chain was 1 5/6 long. For the sake of the argument, let's call x the longer chain. In otherwords x=1 5/6

We know that the sum of the two chains must be 3 1/2 ft, to solve for y, we set up an equation as follows

x+y= 3 1/2

1 5/6 +y= 3 1/2

Lets change the mixed fractions into simple fractions.

1 5/6= 1 x 6+5=11/6

3 1/2= 3 x 2+1=7/2

11/6 +y=7/2 (subtract 11/6 from both sides)

y=7/2-11/6  (get a common denominator, in this case it is 6. So we just have to multiply the first fraction by 3/3)

y=21/6-11/6=10/6=5/3

y= 1 2/3 back in mixed franction

1 5/6+1 2/3 (put into simple fractions)

11/6+5/3 (multiply the second equation by 2/2 to get a common denominator)

11/6+10/6=21/6=7/2

Which is exactly what 3 1/2 is! Thus our answer is correct.

thus chain 1= 1 5/6 ft  and chain 2 = 1 2/3ft

Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 14th, 2015

...
Sep 14th, 2015
...
Sep 14th, 2015
Oct 20th, 2017
check_circle