Step 6: Repeat the steps till we get 0 as the remainder or at least three decimal places in the quotient.Now the new digit in the quotient is 1 which makes it 0.21, and the remainder is 1. Multiply 19 with a number so that the product is less than or equal to 20. After introducing decimal in the quotient we can introduce one 0 at each step of division. The digit that appeared in the quotient is 2, and the remainder left is 2. Step 4: Multiply 19 with a number so that the product is less than or equal to 40.Step 3: In the quotient part, it is important to insert decimal (.) after 0 and start the division.Step 2: We have to make the dividend digit (4) greater than the numerator digit (19) by placing 0 next to 4 and to the quotient respectively.In this case, the denominator > numerator. Step 1: In the given fraction 4/19, consider the numerator 4 as a dividend and the denominator 19 as the divisor.Let us understand the steps involved in fraction to decimal conversion by the long division method with the help of an example. In such a case we divide the numerator by the denominator. When a number is present in a fraction form i.e., p/q, we use the long division method to convert it into a decimal form. By converting the denominator of the fraction into a power of 10Ĭonvert Fraction to Decimal by Long Division Method.There are two methods to convert fraction to decimal which are given below: Let us now understand how to convert fraction to decimal using different methods. Let us look at the fraction and decimal representation given in the chart below to have more clarity about the fraction to decimal conversion. Orange color flowers are also painted in the 4/12 or 0.333 part of the cardboard.Green color flowers are painted in the 3/12 or 0.25 part of the cardboard.Red color flowers are painted in the 5/12 or 0.4166 part of the cardboard.Let us write the portion given to flowers of each color in a fraction as well as in decimal form. Amongst the 12 slots, she reserved 5 equal portions for red color flowers, 3 portions for green color flowers, and 4 for orange color flowers. She painted the flowers of different colors on each part of the cardboard. Emma divides her cardboard into 12 equal parts. Here is a real-life example to understand fraction to decimal conversion. Let us explore some more illustrations to understand the fraction to decimal conversion in detail. While the decimal numbers are formed by connecting the whole number part and fractional part through a decimal point, for example, 7.575. Fractions are represented in the form of p/q, where q≠0. Generally, to convert a number from fraction to decimal form we divide the numerator by the denominator. Any number which is represented in a fraction form is divided into two parts i.e., numerator and denominator.
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