Question

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

How many yards of ribbon does Marcella have left?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

6
`(1)/(12)` (6 1/12)

Question explanation:

First: 9
`(3)/(4)` (9 3/4)

Convert any mixed number to fractions.

Then you initial equation becomes:

`(49)/(4) - (5)/(2)`

(49/4 - 5/2)

Applying the fractions formula for subtraction,

(49 x 2) - (5 x 4)

4 x 2

98 - 20

8

=
`(78)/(8)`

(78/8)

Simplifying 78/8, the answer is:

9
`(3)/(4)`

(9 3/4)

Second: 5
`(3)/(4)` (5 3/4)

Convert any mixed numbers to fractions.

Reduce fractions where possible

Then your initial equation becomes:

39 - 4

4 - 1

Applying the fractions formula for subtraction.

(39 x 1) - (4 x 4)

4 x 1

39 - 16

4

=
`(23)/(4)` (23/4)

Simplifying 23/4, the answer is

5
`(3)/(4)`

(5 3/4)

I hope this is correct, goodbye! - Answered by Lilo

Answer 2

`6(1)/(12)` yards

Explanation:

Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.

The amount ribbon she had at the beginning:
`12(1)/(4)`

The amount she used:
`2(1)/(2) +3(2)/(3)\\`

Our expression:
`12(1)/(4) -(2(1)/(2) +3(2)/(3) )`

LCM of 2, 3, and 4: 12

2:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

3:

3, 6, 9, 12, 15, 18

4:

4, 8, 12, 16, 20

`12(1)/(4) -(2(1)/(2) +3(2)/(3) )\\\\(4*12+1)/(4) -((2*2+1)/(2) +(3*3+2)/(3))\\\\(49)/(4)-((5)/(2)+(11)/(3))\\\\(147)/(12)-((30)/(12)+(44)/(12))\\\\(147)/(12)-(74)/(12)\\\\(73)/(12)\\\\6(1)/(12)`

Therefore, Marcella will have
`6(1)/(12)` yards of ribbons left.

Hope this helps!