Respuesta :
Part A
You know that 1 bag of candy weighs 5 pounds.
Elijah has 1/2 (half) bag of candy, to determine how much the half of a bag weight, you have to multiply the weight of a whole bag by 1/2:
[tex]5\cdot\frac{1}{2}[/tex]Divide the whole number by 1 to express it as a fraction and multiply both fractions:
[tex]\frac{5}{1}\cdot\frac{1}{2}=\frac{5\cdot1}{1\cdot2}=\frac{5}{2}=2.5[/tex]Elijah has 2.5 pounds of candy.
Part B
Now he has 2 1/2 bags of candy, as before, to determine how many pounds he has, you have to multiply this amount by the weight of one bag:
[tex]2\frac{1}{2}\cdot5[/tex]-First, you have to express the mixed number as an improper fraction:
1) Divide the whole number by one to express it as a fraction and add the fraction:
[tex]\frac{2}{1}+\frac{1}{2}[/tex]2) Multiply the first fraction by 2 to express it with denominator 2
[tex]\frac{2\cdot2}{1\cdot2}+\frac{1}{2}=\frac{4}{2}+\frac{1}{2}=\frac{5}{2}[/tex]-Second, multiply 5/2 by 5
[tex]\frac{5}{2}\cdot5=\frac{5}{2}\cdot\frac{5}{1}=\frac{5\cdot5}{2\cdot1}=\frac{25}{2}=12.5[/tex]Elijah has 12.5 pounds of candy.
