Convert the decimal 0.92 to a fraction.

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 need to convert the decimal 0.92 into a fraction. First, we can write 0.92 as a fraction with a denominator of 100.

Expressing as a Fraction 0.92 = 100 92 ​

Simplifying the Fraction Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 92 and 100 is the largest number that divides both 92 and 100 without leaving a remainder.

Finding the GCD The GCD of 92 and 100 is 4. We can find this by listing the factors of each number or by using the Euclidean algorithm.

Dividing by the GCD Now, we divide both the numerator and the denominator by their GCD, which is 4.

Simplifying the Fraction 100 92 ​ = 100 ÷ 4 92 ÷ 4 ​ = 25 23 ​

Final Result So, the simplified fraction is 25 23 ​ .


Examples
Understanding how to convert decimals to fractions is useful in many real-life situations. For example, if you want to calculate a percentage discount at a store, you might need to convert a decimal (like 0.25 for 25%) into a fraction ( 4 1 ​ ) to easily determine the sale price. Another example is when you are measuring ingredients for a recipe. If a recipe calls for 0.75 cups of flour, you can convert this to 4 3 ​ of a cup, making it easier to measure using standard measuring cups.

Answered by GinnyAnswer | 2025-07-03

To convert 0.92 into a fraction, write it as 100 92 ​ . By finding the greatest common divisor (4) and dividing both the numerator and denominator by this value, we simplify it to 25 23 ​ .
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Answered by Anonymous | 2025-07-04