Math  /  Numbers & Operations

QuestionA recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe? 8 to 3 38\frac{3}{8} 3 to 11 8:3

Studdy Solution

STEP 1

What is this asking? We need to find the simplest way to write the ratio of eggs to flour. Watch out! Don't mix up the order – it's eggs to flour, not flour to eggs!

STEP 2

1. Write the Initial Ratio
2. Simplify the Ratio

STEP 3

Alright, so we're given that the recipe uses **3** eggs for every **8** cups of flour.
When we write a ratio, the first number corresponds to the first thing mentioned.
In this case, it's eggs!
The second number corresponds to the second thing mentioned, which is flour.

STEP 4

So, our **initial ratio** of eggs to flour is 33 to 88.
We can also write this as 38\frac{3}{8}.
This fraction represents the proportion of eggs to flour.
For every **8** parts of flour, we need **3** parts of eggs!

STEP 5

Let's see if we can simplify our ratio.
A ratio is in its simplest form when the two numbers have no common factors other than 11.
We ask ourselves: Is there any number that divides evenly into both **3** and **8**?

STEP 6

Nope! The factors of **3** are **1** and **3**.
The factors of **8** are **1**, **2**, **4**, and **8**.
The only common factor is **1**.
This means our ratio 38\frac{3}{8} is already as simple as it can get!
Awesome!

STEP 7

The ratio of eggs to flour in the recipe is 38\frac{3}{8}, which can also be written as 33 to 88.

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