SOLUTION: #1. Mrs. Roscoe can bake a batch of oatmeal cookies in 3/4 hour. How many batches of cookies can she back in 5 1/4 hours? #2. Carrie bought a bag of soil that weighed 2 1/2 poun

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: #1. Mrs. Roscoe can bake a batch of oatmeal cookies in 3/4 hour. How many batches of cookies can she back in 5 1/4 hours? #2. Carrie bought a bag of soil that weighed 2 1/2 poun      Log On


   



Question 921790: #1. Mrs. Roscoe can bake a batch of oatmeal cookies in 3/4 hour. How many batches of cookies can she back in 5 1/4 hours?
#2. Carrie bought a bag of soil that weighed 2 1/2 pounds. She used 1 3/4 pounds for her garden, then divided the remaining amount of soil into 2 equal-sized amounts, which she then placed in bags. What was the weight of the soil she placed in each bag? Explain how you solved the problem.
Please help and explain. Thank you so much, I'm really trying to understand this. Please break it down in simple terms, I'm 11 yrs old. Thanks for your help

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
#2,
2%261%2F2 pounds in the purchased bag;
Used 1%263%2F4 pounds from the bag;
Amount of soil still in the bag, 2%261%2F2-1%263%2F4=2%262%2F4-1%263%2F4, and you must borrow, for the same reason as when you subtract ordinary whole numbers.

Is 1%263%2F4 smaller than 2%262%2F4?
Yes.
Can you subtract 1%263%2F4 from 2%262%2F4?
Yes.
-
Arrange in columns by place value as you would if you had whole numbers.
Can you subtract 3%2F4 from 2%2F4?
No.
-
BORROW 4%2F4 from the 2.
Showing in a row instead of in columns,
2%261%2F2-1%263%2F4=2%262%2F4-1%263%2F4=%281%2B4%2F4%2B2%2F4%29-%281%2B3%2F4%29
%281%2B6%2F4%29-%281%2B3%2F4%29
highlight_green%283%2F4%29.

That amount was then divided into two equal parts and each part put into a separate bag. A picture might help but making one is not to any extent convenient, so I show only numeric symbolism.

You want to DIVIDE 3%2F4 into two equal parts and show this simplified number. The simplest way is this:

%283%2F4%29%281%2F2%29=%283%2A1%29%2F%284%2A2%29=highlight%283%2F8%29