QQuestionMathematics
QuestionMathematics
Convert the given ratio 30:360 into its simplest form.
A. 3:36
B. 1:12
C. 10:120
D. 5:60
12 months agoReport content
Answer
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Step 1:I'll solve this step by step:
Step 2:: Understand the Ratio
- The given ratio is $$30:360
- To simplify a ratio, we need to find the greatest common factor (GCF) of both numbers
Step 3:: Find the Greatest Common Factor
- The greatest common factor is $$30
- Factors of 360: 1, 2, 3, 4, 5, 6, 10, 12, 15, 18, 20, 30, 36, 60, 90, 120, 180, 360
Step 4:: Divide Both Numbers by the GCF
- $$\frac{30}{30} : \frac{360}{30}
- This simplifies to 1:12
Step 5:: Verify the Simplified Ratio
- $$12 \times 30 = 360
- 1 \times 30 = 30
Final Answer
B. 1:12
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