A pancake recipe requires two and two thirds cups of milk to one cup of flour. If four and two thirds cups of milk is used, what quantity of flour will be needed, according to the recipe?

There will need to be 2 and 1/3 cups of flour according to the recipe

Step-by-step explanation:

Given the recipe, we can say that for each 2 and 2/3s cups of milk, one cup of flour is used. We can write this as ( 2 + 2/3)  cups of milk / (1) cup of flour.

We can also write 2 + 2/3 as 2*(3/3) + 2/3 = 6/3 + 2/3 = 8/3, making our ratio

(8/3) / 1

The ratio stays the same, no matter how many cups of milk or flour are used. Therefore, (8/3) /1 = (4 + 2/3) / cups of flour

Writing our final cups of flour as c, we can say

(8/3) / 1 = (4+2/3) / c

(4+2/3)/c = (12/3 + 2/3) /c = (14/3) /c

(8/3)/1 = (14/3) /c

anything divided by 1 is equal to itself

(8/3) = (14/3)/c

multiply both sides by c to make the variable not a denominator

(8/3) * c = 14/3

multiply both sides by 3 to remove the denominators

8 * c = 14

divide both sides by 8 to isolate the c

c = 14/8 = 7/3 = 6/3 + 1/3 = 2 + 1/3

There will need to be 2 and 1/3 cups of flour according to the recipe

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

ok then what happened.