QQuestionMathematics
QuestionMathematics
"Select all ratios equivalent to 3:2.
15:10
27:18
28:16"
12 months agoReport content
Answer
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Step 1:Let's solve this step by step:
Step 2:: Understanding the Problem
We need to determine which ratios are equivalent to the original ratio of 3:2. Two ratios are equivalent if they represent the same proportion when simplified.
Step 3:: Simplify the Original Ratio
The original ratio is $$\frac{3}{2}$$.
To check equivalence, we'll simplify each given ratio and compare.
Step 4:: Analyze 15:10
\frac{15}{10} = \frac{3}{2}$$ (divide both numerator and denominator by 5)
This ratio is equivalent to 3:2. ✓
Step 5:: Analyze 27:18
\frac{27}{18} = \frac{3}{2}$$ (divide both numerator and denominator by 9)
This ratio is equivalent to 3:2. ✓
Step 6:: Analyze 28:16
\frac{28}{16} = \frac{7}{4}$$ (divide both numerator and denominator by 4)
This ratio is NOT equivalent to 3:2. ✗
Final Answer
The equivalent ratios to 3:2 are 15:10 and 27:18.
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