Maya's school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first week, Maya collected 4/20 lb of aluminum and her friend Abigail collected 7/8 lb.
which girl collected more aluminum?
how much aluminum did the two girls collect?
I suck at math please help
To determine which girl collected more aluminum, we need to compare the quantities collected by Maya and Abigail.
Maya collected 4/20 lb of aluminum, which can be simplified to 1/5 lb.
Abigail collected 7/8 lb of aluminum.
Comparing the two quantities, we can see that 7/8 lb is greater than 1/5 lb. Therefore, Abigail collected more aluminum than Maya.
To find out how much aluminum the two girls collected in total, we need to add their individual quantities.
Maya collected 1/5 lb of aluminum, and Abigail collected 7/8 lb of aluminum.
To add these fractions, we need to find a common denominator. In this case, the common denominator is 40.
Converting the fractions to have the common denominator:
Maya: 1/5 lb becomes (1/5) * (8/8) = 8/40 lb
Abigail: 7/8 lb becomes (7/8) * (5/5) = 35/40 lb
Now we can add the quantities:
8/40 lb + 35/40 lb = (8 + 35)/40 lb = 43/40 lb
Therefore, the two girls collected a total of 43/40 lb of aluminum.
To compare the amounts of aluminum collected by Maya and Abigail, we need to find a common unit of measurement.
Let's convert Maya's aluminum collection to a common denominator of 8. The denominator of 20 can be multiplied by 4 to get 80, and the numerator can be multiplied by 4 as well to get 16/80 lb.
Now we can compare Maya's aluminum collection of 16/80 lb with Abigail's aluminum collection of 7/8 lb:
Maya: 16/80 lb
Abigail: 7/8 lb
To compare fractions, we need a common denominator. In this case, we can use 80 as the common denominator:
Maya: 16/80 lb
Abigail: 70/80 lb
From this comparison, we can see that Abigail collected more aluminum than Maya, as 70/80 lb is larger than 16/80 lb.
To find out how much aluminum the two girls collected in total, we can add their amounts:
Maya: 16/80 lb
Abigail: 70/80 lb
Adding these fractions gives us:
16/80 lb + 70/80 lb = 86/80 lb
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
(86 ÷ 2) / (80 ÷ 2) = 43/40 lb
Therefore, the two girls collected a total of 43/40 lb of aluminum.
4 / 20 = 4 / 4 ∙ 5 = 1 / 5
Least Common Multiple of 5 and 8 is 40
Maya collected :
4 / 20 = 1 / 5 = 8 ∙ 1 / 8 ∙ 5 = 8 / 40 lb
Abigail collected:
7 / 8 = 5 ∙ 7 / 5 ∙ 8 = 35 / 40 lb
35 / 40 > 8 / 40
Abigail collected more aluminum.
Two girls collect:
8 / 40 + 35 / 40 = 43 / 40 = ( 40 + 3 ) / 40 =
40 / 40 + 3 / 40 = 1 + 3 / 40 = 1 + 0.075 = 1.075 lb