Convert the decimal 0.92 to a fraction.
Answer (2)
Convert the decimal 0.92 to a fraction 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
Converting Decimal to Fraction We are asked to convert the decimal 0.92 to a fraction. To do this, we can write 0.92 as a fraction with a denominator of 100, which gives us 100 92 .
Simplifying the Fraction Now, we need to simplify the fraction 100 92 by finding the greatest common divisor (GCD) of the numerator (92) and the denominator (100). The GCD is the largest number that divides both 92 and 100 without leaving a remainder.
Finding the Greatest Common Divisor (GCD) To find the GCD of 92 and 100, we can list their factors: Factors of 92: 1, 2, 4, 23, 46, 92 Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 The greatest common factor is 4.
Dividing by the GCD Now, we divide both the numerator and the denominator by their GCD, which is 4: 100 ÷ 4 92 ÷ 4 = 25 23
Final Result So, the simplified fraction is 25 23 .
Final Answer Therefore, the decimal 0.92 is equal to the fraction 25 23 .
Examples
Converting decimals to fractions is a fundamental skill with many practical applications. For example, imagine you're calculating discounts at a store. If an item is 0.25 off, you can easily understand this as 4 1 of the original price. Similarly, in cooking, recipes often use fractional amounts, so knowing how to convert decimals to fractions helps you measure ingredients accurately. This skill is also useful in understanding financial calculations, such as interest rates or percentage returns on investments.
The decimal 0.92 can be converted to a fraction by writing it as 100 92 and then simplifying it to 25 23 by dividing both the numerator and denominator by their GCD of 4.
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