Fraction and decimal chart12/15/2023 ![]() Fractions are of the form p/q, where p and q are whole numbers and q is not equal to 0, while decimals are written with the help of a decimal point in between to separate the whole numbers part and the fractional part of a number, for example, 2.89 is a decimal number. The main difference between the fraction and decimals is that fraction represents a ratio between two, while decimals can also be used for writing infinite values and for more precision. ![]() What is the Difference Between the Fraction and Decimals? Decimal gives a more precise value as compared to fractions as we can even represent the infinite numbers using decimals, which is not possible with fractions. For measuring, decimals and fractions are used. The decimal place of the final answer depends upon the number of trailing zeros present in the digit of the denominator.įAQs on Relationship Between Fractions and Decimals What is the Importance of Fraction and Decimal?įractions and decimals are required when there is the precision required in the value because whole numbers can only be used for counting. Step 5: Now we have a denominator in terms of powers of 10. Step 4: By multiplying the numerator of the fraction by 25 we get (3 × 25) = 75 Step 3: Multiply the numerator also with the same number Step1: Think of a number by which we can easily multiply the denominator and numerator to get the power of 10. We will take an example to proceed with the given steps. Let us understand this with the steps given below. Step 7: The final remainder is 0 and the quotient is 0.375.Īnother method to convert the fraction to a decimal is by converting the denominator of the fraction to powers of 10 like 10, 100, 1000, etc. Multiply 8 with a number so that the product is less than equal to 40. 8 times 5 is 40. Multiply 8 with a number so that the product is less than equal to 60. 8 times 7 is 56. Here now quotient is 7, the remainder is 4. After introducing decimal in the quotient we can attach one 0 at each step of division. Here now the digit in the quotient is 3, the remainder is 6. Step 4: Multiply 8 with a number so that the product is less than equal to 30. Step 3: In the quotient, place decimal after 0 and start the division. Step 2: Make the dividend greater than the numerator by placing 0 next to the digit and to the quotient. Step 1: Treat the numerator digit of the fraction as a dividend and the denominator as the divisor. In this case, the numerator is lesser than the denominator. The steps for converting fractions into decimals are given below. Let us understand these steps of the long division with the help of an example. When a number is present in a fraction form i.e., p/q, to convert it into the decimal form we use the long division method. Convert the denominator of the fraction to multiples of 10 like 10, 100, 1000, etc.Ĭonverting Fraction to Decimal by Long Division Method.We can convert a fraction to its decimal form by the following two methods. Let us look at the fraction and decimal representation given in the chart below to have more clarity about the fractions and decimals relationship. Blue flowers are also grown in the 2/12 or 0.1666 part of the garden.Yellow flowers are grown in the 2/12 or 0.1666 part of the garden.Red flowers are grown in the 8/12 or 0.666 part of the garden.Let us write the portion given to flowers of each color in fraction and in decimal. Amongst the 12 slots, she reserved 8 equal portions for red flowers, 2 portions for yellow color flowers, and 2 for blue color flowers. She grows flowers of different colors in each part of the garden. Emma divides her garden into 12 equal parts. Your mother gave half of it, i.e., 3 slices then in fractional form, we write it as 1/2, and in the decimal form, we write it as 0.5. ![]() Consider a full-thin crust pizza with 6 slices. Let us look at some examples to understand the relationship between fractions and decimals. In both fractions and decimals, we represent the whole by 1. Fractions and decimals represent the relationship of part by whole. Fractions are written in the form of p/q, where q≠0, while in decimals, the whole number part and fractional part are connected through a decimal point, for example, 0.5. But this subchapter shall not be construed to increase duties upon any articles which may be imported.What is the Relationship Between Fractions and Decimals?īoth fractions and decimals are just two ways to represent numbers. The same and no other shall be used in determining duties and taxes levied by the United States of America on sheet and plate iron and steel. Weight per square foot in pounds avoirdupois ![]() Weight per square foot in ounces avoirdupois Approximate thickness in fractions of an inchĪpproximate thickness in decimal parts of an inch ![]()
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