Final Answer:
The ratio expressed as a fraction in simplest form, with whole numbers in the numerator and denominator, is 1/6 : 1/36: 1/6: 1/36 = 6 : 1 : 6 : 1.
Step-by-step explanation:
The given ratios1/6 : 1/36: 1/6: 1/36 require simplification to express them as fractions with whole numbers in the numerator and denominator. To simplify ratios, we aim to find a common factor that allows converting all the fractions into equivalent fractions with whole numbers. By identifying the least common multiple (LCM) of the denominators, we convert the ratios to their simplest form.
In this scenario, the LCM of the denominators 6 and 36 is 36. Multiplying the numerators and denominators by the appropriate factors to make the fractions equivalent, we arrive at the simplified ratio 6 : 1 : 6 : 1. This simplified ratio retains the proportional relationship between the quantities represented by the original fractions, expressed in whole numbers.
Therefore, the original ratio 1/6 : 1/36: 1/6: 1/36 is equivalently represented as 6 : 1 : 6 : 1 in its simplest form with whole numbers in both the numerator and denominator. This simplified ratio preserves the proportional relationship between the quantities while ensuring clarity and ease of interpretation in the given context.