Content

• Steps
• Part 1 of 4: Defining Fractions
• Part 2 of 4: Division Conversion
• Part 3 of 4: Converting a fraction with a denominator that is a multiple of 10
• Part 4 of 4: Memorize the decimal equivalents of the most common fractions

Fractions and decimals are two ways to represent numbers less than one. Since any number less than one can be represented as an ordinary or decimal fraction, there are mathematical equations that allow you to convert ordinary fractions to decimals (and vice versa).

Steps

Part 1 of 4: Defining Fractions

1. 1 Definition of an ordinary fraction. It consists of three parts: the numerator (top number), division sign (separating two numbers), and denominator (bottom number).
   • The denominator determines the total number of equal parts in one whole. For example, if a pizza can be cut into 8 equal pieces, then the denominator is 8. Or if the same pizza is cut into 12 equal pieces, then the denominator will be 8. In both cases, one whole is considered - pizza.
   • The numerator specifies the number of equal parts. If you took one slice of pizza, then the numerator is 1. If you took four slices, then the numerator is 4.
2. 2 Determination of the decimal fraction. Decimal fractions do not use the division sign. A decimal fraction is a series of numbers separated by a comma.In such a fraction, the integer is expressed in multiples of 10 (that is, 10, 100, 1000, and so on), and the number of equal parts is written after the decimal point.
   • Decimal fractions are read in the same way as ordinary ones, which demonstrates their similarity. For example, the fraction 0.05 reads like this - five hundredths; the fraction 5/100 is read in the same way. Fraction is represented by numbers to the right of the decimal point.
3. 3 The ratio of common and decimal fractions. These fractions differ only in the way they represent numbers less than one. Since both of these fractions are found in many problems, you will have to transform them in order to add, subtract, or compare.

Part 2 of 4: Division Conversion

1. 1 Think of fractions as a math problem. To convert a fraction to a decimal, simply divide the numerator by the denominator.
   • That is, in the fraction 2/3, divide 2 by 3.
2. 2 Divide the numerator of the fraction by its denominator. You can divide two numbers mentally (if they are evenly divisible), using a calculator, or in a column.
3. 3 Check your answer. To do this, multiply the resulting decimal fraction by the denominator of the original fraction. You should get the numerator of the original fraction.

Part 3 of 4: Converting a fraction with a denominator that is a multiple of 10

1. 1 This is another way to convert a fraction to a decimal. It can help you understand the relationship between these fractions and improve your other math skills.
2. 2 The denominator is a multiple of 10. This is the denominator, which contains a number that is divisible by 10. Such numbers are also 1000 or 1,000,000, but in most problems the denominators are 10 or 100.
3. 3 Learn to identify fractions that are easy to convert to decimals. Any fraction that has 5, or 20, or 25, or 50 in the denominator can be quickly converted to a decimal. Fractions with a denominator of 10, or 100, or 1000 (and so on) are even easier to convert to decimals.
4. 4 Multiply the fraction given to you by another fraction. The denominator of the second fraction must be such that when multiplied by the denominator of the first fraction, a multiple of 10. The numerator of the second fraction must be equal to the denominator, that is, the second fraction is 1.
   • Remember that multiplying any number (including a fraction) by 1 does not change the value of that number (fraction). This means that you need to multiply the original fraction by 1 in order not to change the value of this fraction; you just have to represent 1 as a fraction.
   • For example, 2/2 is 1. If you want to convert 1/5 to a fraction with denominator 10, multiply the original fraction by 2/2: 1/5 x 2/2 = 2/10.
   • To multiply two fractions, multiply their numerators (get the numerator of the final fraction), and then multiply their denominators (get the denominator of the final fraction).
5. 5 Convert a fraction with a denominator that is a multiple of 10 to a decimal. Write the numerator of the common fraction and add a decimal point at the end. Then determine the number of zeros in the denominator of the fraction. Now move the decimal point as many positions to the left as there are zeros in the denominator of an ordinary fraction.
   • For example, given the fraction 2/10. Write "2," (without quotes). There is one zero in the denominator. Therefore, move the decimal point one place to the left, that is, the answer is 0.2.
   • Over time, you will learn how to quickly convert fractions using this method. You will need to look at a fraction with a denominator that is a multiple of 10, and write down the numerator of this fraction accordingly.

Part 4 of 4: Memorize the decimal equivalents of the most common fractions

1. 1 Convert the most common fractions to decimals. To do this, divide the numerator by the denominator (as shown in the second chapter).
   • Some decimal equivalents of ordinary fractions need to be known by heart: 1/4 = 0.25; 1/2 = 0.5; 3/4 = 0.75.
   • If you want to quickly convert an ordinary fraction to a decimal, just connect to the Internet and enter something like "1/4 to decimal" in a search engine.
2. 2 Make cards, on one side of which write ordinary fractions, and on the other - decimal fractions equal to them. These flashcards will help you remember common fractions and their decimal equivalents.
3. 3 Remember the decimal equivalents of fractions. This will come in handy when solving problems with fractions.