Convert the decimal 0.92 to a fraction.
Answer (2)
Write the decimal as a fraction with a denominator of 100: 0.92 = 100 92 .
Find the greatest common divisor (GCD) of 92 and 100, which is 4.
Divide both the numerator and the denominator by the GCD: 100 ÷ 4 92 ÷ 4 = 25 23 .
The simplified fraction is 25 23 .
Explanation
Write as a fraction with denominator 100 We need to convert the decimal 0.92 to a fraction. First, we can write 0.92 as a fraction with a denominator of 100.
Finding the GCD So, 0.92 is equal to 100 92 . Now we need to simplify this fraction by finding the greatest common divisor (GCD) of 92 and 100.
Identify the GCD The factors of 92 are 1, 2, 4, 23, 46, and 92. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The greatest common divisor (GCD) of 92 and 100 is 4.
Simplify the fraction Now, we divide both the numerator and the denominator by their GCD, which is 4: 100 ÷ 4 92 ÷ 4 = 25 23
Final Answer Therefore, the simplified fraction is 25 23 .
Examples
Converting decimals to fractions is a fundamental skill with many practical applications. For instance, when you're baking, you might need to convert a decimal measurement from a recipe (like 0.25 cups) into a fraction ( 4 1 cup) to easily use your measuring tools. Similarly, in finance, understanding fractions helps in calculating proportions, such as determining what fraction of your income goes towards rent or savings. These conversions make everyday tasks more manageable and precise.
To convert 0.92 to a fraction, express it as 100 92 . Simplifying this fraction by finding the GCD of 92 and 100, which is 4, gives 25 23 as the final answer. Thus, 0.92 as a fraction is 25 23 .
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