To change a fraction to a decimal, find an equivalent. We invite you to read other articles on decimal and fraction, on our blog, to find out how converting fraction to decimal. A decimal that names the same part of a whole as a fraction is the fractions decimal equivalent. The number 8 is our divisor ( our denominator).In the fraction $$\frac18$$, the number 1 is the dividend ( our numerator ).Here are some common terms you should be familiar with. Converting a Repeating Decimal into a Fraction Set the repeating decimal equal to a variable Multiply both sides of the equation by 10n where n is the number. $$\frac$$Īs there are three zeros in the denominator, move the decimal point 3 digits to the left to write the answer. As the same number that is multiplied by the denominator should be multiplied by the numerator, multiply 1 by 125. We can see that 125 is multiplied to 8 to get 1000. 4th grade Course: 4th grade > Unit 10 Lesson 7: Writing decimals as fractions Rewriting decimals as fractions: 0.8 Rewriting decimals as fractions: 0.15 Rewriting decimals as fractions: 0.36 Rewriting decimals as fractions: 2. A short way to convert decimals to fractions is to verbalize the name of the decimal number using place value names the fraction form comes naturally from the. You need to do the same to the denominator to create an equivalent. Here the denominator 8 is converted to 1000 in its equivalent fraction.įind the value that when multiplied to 8 gives 1000. Convert the numerator to an integer by multiplying by a multiple of 10, e.g. The concept of the equivalent fraction is also used to change the fractions to their decimal form. To find the equivalent fraction of a given fraction, any non-zero number can be multiplied by the numerator and the denominator to get an equivalent fraction. Solution: The decimal 1.025 has 2 parts: the 1 which is the number of whole units, and. The equivalent fractions are fractions that have different numerator and denominator values but simplify to the same fraction. The given fraction is converted to its equivalent fraction before being changed to the decimal form.Įquivalent fractions are the fractions made of factors of the numerator and the denominator. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. To convert a decimal to a fraction, place the decimal number over its place value. Observe the fraction and compare the denominators. About Transcript Decimals can be written in fraction form.
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