What is the simplest ratio of 75 L to 1.5 L?

What is the simplest ratio of 75 L to 1.5 L?

• A. 75 to 15
• B. 50 to 1
• C. 5 to 1
• D. None of the above

Answer: (B)

To simplify the ratio of 75 L to 1.5 L, you divide both values by their greatest common factor. In this case, you can simplify the ratio step by step. First, divide both values by 1.5: 75 L ÷ 1.5 L = 50 1.5 L ÷ 1.5 L = 1 This results in a simplified ratio of 50 to 1. This simplified ratio of 50 to 1 is the most reduced form, where both quantities maintain a proportional relationship that remains consistent regardless of their size. Using this method demonstrates how significant fractions can be simplified to yield clearer, more manageable ratios that are easier to interpret or utilize in calculations. The other choices do not represent the simplest form of the ratio 75 L to 1.5 L, making 50 to 1 the most accurate choice.

To simplify the ratio of 75 L to 1.5 L, you divide both values by their greatest common factor. In this case, you can simplify the ratio step by step.

First, divide both values by 1.5:

75 L ÷ 1.5 L = 50

1.5 L ÷ 1.5 L = 1

This results in a simplified ratio of 50 to 1.

This simplified ratio of 50 to 1 is the most reduced form, where both quantities maintain a proportional relationship that remains consistent regardless of their size.

Using this method demonstrates how significant fractions can be simplified to yield clearer, more manageable ratios that are easier to interpret or utilize in calculations. The other choices do not represent the simplest form of the ratio 75 L to 1.5 L, making 50 to 1 the most accurate choice.