Write 45% as a fraction or mixed number in simplest form.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert 45% to a fraction or mixed number in simplest form, we start by understanding what the percentage represents. A percentage is a way of expressing a number as a fraction of 100. Thus, 45% can be written as:<\/p>\n\n\n\n [ The next step is to simplify the fraction (\\frac{45}{100}). To do this, we need to find the greatest common divisor (GCD) of the numerator (45) and the denominator (100). The GCD is the largest number that divides both numbers without leaving a remainder.<\/p>\n\n\n\n Finding the GCD:<\/strong><\/p>\n\n\n\n Simplifying the Fraction:<\/strong> [ Thus, (45\\%) in fraction form is (\\frac{9}{20}).<\/p>\n\n\n\n Mixed Number Conversion:<\/strong> In conclusion, (45\\%) is equivalent to the fraction (\\frac{9}{20}). This fraction cannot be simplified further as 9 and 20 have no common factors other than 1, confirming that (\\frac{9}{20}) is indeed in its simplest form.<\/p>\n","protected":false},"excerpt":{"rendered":" Write 45% as a fraction or mixed number in simplest form. The Correct Answer and Explanation is: To convert 45% to a fraction or mixed number in simplest form, we start by understanding what the percentage represents. A percentage is a way of expressing a number as a fraction of 100. 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45\\% = \\frac{45}{100}
]<\/p>\n\n\n\n\n
\n
[
45 = 3^2 \\times 5^1
]<\/li>\n\n\n\n
[
100 = 2^2 \\times 5^2
]<\/li>\n<\/ul>\n\n\n\n\n
\n
Now, we divide both the numerator and the denominator by their GCD:<\/p>\n\n\n\n
\\frac{45 \\div 5}{100 \\div 5} = \\frac{9}{20}
]<\/p>\n\n\n\n
Since (\\frac{9}{20}) is already a proper fraction (the numerator is less than the denominator), it cannot be expressed as a mixed number. Therefore, the simplest form of (45\\%) as a fraction is (\\frac{9}{20}).<\/p>\n\n\n\n