To find the ratio of butter to flour in its simplest form, follow these steps:
1. Identify the quantities: We have 90 grams of butter and 160 grams of flour.
2. Determine the greatest common divisor (GCD): The GCD of two numbers is the largest number that evenly divides both of them. For 90 and 160, the greatest common divisor is 10.
3. Simplify the ratio by dividing by the GCD:
- Divide the amount of butter by the GCD: [tex]\( \frac{90}{10} = 9 \)[/tex]
- Divide the amount of flour by the GCD: [tex]\( \frac{160}{10} = 16 \)[/tex]
4. Form the simplified ratio: The simplified ratio of butter to flour is [tex]\( 9:16 \)[/tex].
Thus, the ratio of butter to flour in its simplest form is 9:16.