Can someone please explain this to me in detail? Thank you! To make 4 3/5 cakes, 2/3 pounds of flour is needed. How much flour is needed to make one cake?
suppose you know how much you need to make 3 cakes. To make one cake, you just divide by 3, right?
So here, just divide by 4 3/5.
(2/3)/(4 3/5)
= (2/3)/(23/5)
= 2/3 * 5/23
= 10/69
All fractions work the same way.
Thank you Steven! I did this problem all kinds of ways,but the answer is 0.80 pounds. I'm trying to figure out how the got that. I was up study late,so maybe I missed something simple.
something is messed up.
I suspect a typo. In particular, I think 4.6 cakes will take a lot more than 3/5 lb of flour, unless they are very small cakes.
Hmmm. 2/3 lb is about 3/5 cup. I know I can't make 4 cakes with that much flour!
To find out how much flour is needed to make one cake, we can set up a proportion based on the given information. A proportion is an equation that equates two ratios. In this case, the ratio of the amount of flour needed to the number of cakes made should be equal to the ratio of the amount of flour needed to make 4 3/5 cakes.
Given:
To make 4 3/5 cakes, 2/3 pounds of flour is needed.
Let's break it down step by step:
Step 1: Convert the mixed number to an improper fraction.
4 3/5 = (4 * 5 + 3) / 5 = 23/5
Step 2: Set up the proportion.
Let's use "x" to represent the unknown value (amount of flour needed to make one cake).
x / 1 = (2/3) / (23/5)
Step 3: Simplify the proportion.
To simplify the proportion, we can multiply the numerator of the first fraction (2/3) by the reciprocal of the second fraction (5/23).
x = (2/3) * (5/23)
Step 4: Calculate the answer.
To multiply fractions, multiply the numerators together and the denominators together.
x = (2 * 5) / (3 * 23)
x = 10/69
Therefore, to make one cake, approximately 10/69 pounds of flour is needed.
If you need a decimal approximation of the answer, you can use a calculator to divide 10 by 69, which will give you approximately 0.1449 pounds (rounded to four decimal places).
So, approximately 0.1449 pounds of flour is needed to make one cake.