Question
Question Find an equivalent ratio in simplest terms: \[ 56: 6 \] Answer Attempt 1 out of 3 \( \square: \square \)
Ask by Vargas Conner. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified ratio is 28:3.
Solution
To simplify the ratio 56:6, we need to divide both numbers by their greatest common factor. The greatest common factor of 56 and 6 is 2.
Step 1: Divide both terms by 2.
56 ÷ 2 = 28
6 ÷ 2 = 3
Thus, the simplified ratio is 28:3.
The answer is 28:3.
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Simplify this solution Extra Insights
To simplify the ratio \( 56:6 \), you can divide both numbers by their greatest common divisor (GCD), which is 2. So, dividing both sides by 2 gives us \( 28:3 \). Thus, the equivalent ratio in simplest terms is \( 28:3 \). Practice simplifying ratios by handling larger numbers. It can be helpful to find GCDs using prime factorization or the Euclidean algorithm. The more you practice, the easier it will become, and soon you'll identify equivalent ratios like a pro!
