Which is greatest in 16(2/3)%, 2/15 and 0.17?
- 16(2/3)% =[ (50/3) x (1/100)] = 1/6 = 0.166, 2/15 = 0.133.
Clearly, 0.17 is the greatest.
To compare the three values, 16(2/3)%, 2/15 and 0.17, we need to convert them into a common denominator.
• 16(2/3)%: 16(2/3)% can be written as 16.66%. This is equal to 0.1666.
• 2/15: This can be written as 0.1333.
• 0.17: This is already in decimal form.
Now, we can compare the three values in decimal form.
• 16.66% = 0.1666
• 2/15 = 0.1333
• 0.17
From the above, it is clear that 0.17 is the greatest of the three values. Thus, the answer is Option C . 0.17.
Explanation:
• Percentages are often used to represent fractions of 100. The ‘%’ symbol is used to indicate the number is a percentage.
• A fraction is a mathematical expression that represents the ratio of two numbers. It is written as two numbers separated by a slash (‘/’).
• A decimal is a number written in base 10. It is composed of a whole number and a fractional part separated by a decimal point.
• To compare fractions and percentages to decimals, we need to convert them into a common denominator.
• After converting the fractions and percentages into decimals, we can compare them and find the greatest.
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