Have you checked to see if your new fraction can be reduced?

Hint: GCF of 946 and your denominator is 2. You should consider simplifying the fraction by 2.

0.946 = 473/500

Below is a comprehensive guide for our students to calculate 0.946 to the fraction 473/500. Please reach out with any questions or updates. Use the calculator for other conversions from decimals to fractions.

**Identify Whole Number and Decimal Parts:**- Start by identifying the whole number and the decimal parts separately.
- 0.946 has a whole number part, which is 0, and a decimal part, which is 0.946.

**Convert the Decimal .946 by the place value:**- If the number 0.946 goes up to the hundredths place, your denominator will be one hundred.
- Write 0.946 as a fraction over a power of 10 that corresponds to its place value. In this case, because 0.946 is in the hundredths place, write it over 100: 946/100.

**Reduce the Fraction (if needed):**- To simplify the fraction, look for the greatest common factor (GCF) of the numerator (946) and the denominator (100).
Factors of 946: 1, 2, 11, 22, 43, 86, 473, 946

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Therefore, the GCF (greatest common factor) of 946 and your denominator (100) is: 2

**Combine the Whole Number and the Fraction:**- Now, return to the whole number part (which is 0).
- Combine 0 with 946/100 to express 0.946.
- Simplifying the answer: 473/500.

- When converting a decimal under 1, like 0.946, to 473/500, the place value can help find the denominator. A number in the tenths place will have a denominator of 10 when converted to a fraction, while one in the hundredths place will have a denominator of 100.
- Watch for repeating decimals
- Careful rounding! Rounding 0.946 can help simplicity but will change the solution 473/500

Converting decimals to fractions holds significant relevance in various fields, including mathematics, science, engineering, and finance. It enables clearer representation and precise calculations, especially when dealing with ratios, proportions, and mathematical equations. Understanding this conversion process is fundamental to grasping more complex mathematical concepts and applications.

Additionally, this conversion is instrumental in daily life, facilitating informed decision-making, accurate measurements, and optimal resource allocation. Whether you are cooking, shopping, or planning a project, the ability to interchange between decimals and fractions empowers you with flexibility and versatility in numerical operations.

We encourage you to experiment with different decimal values, explore the conversion process, and discover the practical applications and benefits of mastering this essential mathematical skill.