![]() (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc. Multiply both top and bottom by 10 for every number after the decimal point.For instance, 3.45 can be written as 3.45/1. This can be done by dividing the decimal by 1. We observe that if one digit moves one place left to right its value becomes one-tenth ($\frac$. ![]() In other words, the value of a place is one-tenth of the value of the next place on its left. We know that each place in the place value table has a value ten times the value of the next place on its right. Help your children to understand that (common) fractions and decimal (fractions) have the same meaning – part of the whole.īefore we move ahead with the conversion of decimals into fractions, it is important to understand the composition of decimals in the place value system. then somehow find greatest common factor. multiply by 10 with power of the amount before number. Calculate amount of digits after decimals. In both forms such as one without remainder like this: 3/5 or with remainder: 3 1/4. In fact, decimal numbers are more correctly known as decimal fractions and fractions with numerators and denominators are, to give them a longer name, common fractions. So i want to be able to convert any decimal number into fraction. Reduce the fraction by dividing the numerator and the denominator with the gcd. Find the greatest common divisor (gcd) of the numerator and the denominator. 75/100 = 3/4.įractions and decimals are very similar. How to convert decimal to fraction Conversion stages Write the decimal fraction as a fraction of the digits to the right of the decimal period (numerator) and a power of 10 (denominator). Next, simplify the fraction part to the lowest common term.depending on the number of decimal places. First, convert the decimal to fraction using tenths, hundredths, thousandths, etc.Decimal to fraction conversion is usually a two-step operation. Converting a Decimal to a FractionĪll decimal numbers can be expressed as a fraction. A whole one can be divided into 2 halves or 3 thirds or 4 quarters and so on. The whole may be a single object or a group of objects. This means that when one whole is divided into equal parts, each part is a fraction. The whole may be a single or a group of objects. We can express a decimal number as a fraction by keeping the given number as the numerator without a decimal point and writing 1 in the denominator followed. What are Fractions?Ī fraction is a number representing a part of a whole. The whole part and the fractional part of a decimal are separated by a dot “. Steps to convert decimals into Fractionsĭecimals are a type of number in mathematics that consist of a whole part and a fractional part.Important points regarding simplification of fractions.Writing a Fraction in its Simplest Form.Comparing thousandth of decimal to its equivalent fraction.Comparing hundredth of decimal to its equivalent fraction.Comparing tenth of a decimal to its equivalent fraction.Comparing decimals and fractions on a number line.
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