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Now, let’s convert the decimal 0.666… to a fraction:

Steps to Convert Repeating Decimals to Fractions Therefore, 0.333… is equal to the fraction 1/3. Divide both sides of the equation by 9: x = 3/9.Subtract the original equation from the new equation: 10x – x = 3.333… – 0.333….Multiply both sides of the equation by 10: 10x = 3.333….Subtract the original equation from the new equation.įor example, to convert the repeating decimal 0.333… to a fraction, we would do the following:.Multiply both sides of the equation by 10 raised to the power of the number of digits that repeat.

To convert a repeating decimal to fraction, we can use the following steps: For example, the number 0.333… has a repeating pattern of 3s. Repeating decimals are decimal numbers that have a pattern of digits that repeats itself over and over again. In the example of 0.25, the greatest common divisor of 25 and 100 is 25, so we can divide both the numerator and denominator by 25 to get the simplified fraction 1/4.Ĭonverting Repeating Decimals to Fractions Understanding Repeating Decimals Simplify the fraction, if possible, by dividing the numerator and denominator by their greatest common divisor.So, in the example of 0.25, the denominator would be 100. Determine the denominator by placing the number 1 followed by as many zeros as there are digits after the decimal point.So, in the example of 0.25, the numerator would be 25. Write the decimal number as the numerator of the fraction.For example, in the number 0.25, the last digit is 5, and its place value is hundredths. Identify the place value of the last digit after the decimal point.To convert decimal to a fraction, follow these steps: convert decimals to fractions Steps to Convert Terminating Decimals to Fractions Converting terminating decimals to fractions is relatively straightforward. For example, the number 0.75 is a terminating decimal because it ends after the second digit. Terminating decimals are decimal numbers that have a finite number of digits after the decimal point. Converting Terminating Decimals to Fractions Understanding Terminating Decimals By understanding the basic concept, we can move on to converting both terminating and repeating decimals to fractions. The denominator of the fraction is determined by the place value of the last digit after the decimal point. With a commitment to accuracy and user satisfaction, Calculator.io is the preferred resource for those seeking reliable online calculation tools.Convert decimals to fractions: Basic ConceptĬonvert decimals to fractions involves expressing a decimal value as a ratio of two integers. The Decimal to Fraction Calculator is the latest addition to their extensive selection of tools, which includes calculators for finance, health, fitness, and more. It can benefit individuals working in fields requiring precise and accurate measurements.Ĭalculator.io is dedicated to providing reliable and user-friendly online calculation solutions. It can help users understand fractions better and provide a more precise representation of numerical data.ĭecimal to Fraction Calculator is a valuable tool for various applications, including mathematics, education, engineering, and construction. The Decimal to Fraction Calculator ( ) offers a simple yet effective way of converting decimals to fractions. It is suitable for use by professionals or students in mathematics and educational settings. This user-friendly calculator is designed to assist individuals in converting decimals to fractions quickly and accurately. LAS VEGAS, NEVADA, USA, May 6, 2023/ / - Calculator.io, a trusted online platform that provides various calculation tools, has launched a new Decimal to Fraction Calculator. Calculator.io's Decimal to Fraction Calculator simplifies math for professionals and students by converting decimals to fractions quickly and accurately.