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!
