MitsukuSan
contestada

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.

Respuesta :

Answer:

6 [tex]\frac{1}{12}[/tex] (6 1/12)

Question explanation:

First: 9 [tex]\frac{3}{4}[/tex] (9 3/4)

Convert any mixed number to fractions.

Then you initial equation becomes:

[tex]\frac{49}{4} - \frac{5}{2}[/tex]

(49/4 - 5/2)

Applying the fractions formula for subtraction,

(49 x 2) - (5 x 4)

4 x 2

98 - 20

8

= [tex]\frac{78}{8}[/tex]

(78/8)

Simplifying 78/8, the answer is:

9 [tex]\frac{3}{4}[/tex]

(9 3/4)

Second: 5 [tex]\frac{3}{4}[/tex] (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

= [tex]\frac{23}{4}[/tex] (23/4)

Simplifying 23/4, the answer is

5 [tex]\frac{3}{4}[/tex]

(5 3/4)

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

Esther

Answer:

[tex]6\frac{1}{12}[/tex] yards

Step-by-step 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: [tex]12\frac{1}{4}[/tex]

The amount she used: [tex]2\frac{1}{2} +3\frac{2}{3}\\[/tex]

Our expression: [tex]12\frac{1}{4} -(2\frac{1}{2} +3\frac{2}{3} )[/tex]

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

[tex]12\frac{1}{4} -(2\frac{1}{2} +3\frac{2}{3} )\\\\\frac{4*12+1}{4} -(\frac{2*2+1}{2} +\frac{3*3+2}{3})\\\\\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})\\\\\frac{147}{12}-(\frac{30}{12}+\frac{44}{12})\\\\\frac{147}{12}-\frac{74}{12}\\\\\frac{73}{12}\\\\6\frac{1}{12}[/tex]

Therefore, Marcella will have [tex]6\frac{1}{12}[/tex] yards of ribbons left.

Hope this helps!

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