If you’re looking for an answer to the question “What is .625 as a fraction?”, you’ve come to the right place. In this blog post, we’ll explain what this number means and how to express it as a fraction.
Checkout this video:
In arithmetic and mathematics, the .625 as a fraction is an important number. It has a lot of practical uses in everyday life. It also crops up in many formulae and equations. The .625 as a fraction can be written down in several ways, all of which are equivalent.
What is .625 as a Fraction?
.625 can be written as a fraction as 5/8. This fraction is also an improper fraction. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). In other words, the fraction 5/8 can be written as a mixed number as 1 1/8.
Decimals, Fractions, and Percents
.625 as a fraction is 5/8. To convert a decimal to a fraction, divide the decimal by 1 and multiply the result by the denominator. In this case, .625 divided by 1 is .625, and .625 multiplied by 8 is 5. So, .625 as a fraction is 5/8.
Terminating and Repeating Decimals
In mathematics, a repeating decimal is a decimal representation of a number whose digits are periodic (repeating their values at regular intervals) and whose infinitely repeated portion is equal to the original number. For example, the fraction 1⁄3 has a repeating decimal representation of 0.333333333…, and the digit sequence 3 is periodic. The same phenomenon occurs with all fractions whose denominator is a power of ten or any multiple thereof (except those fractions with a denominator that is also the product of two or more smaller powers of ten), such as 1⁄11 (0.090909090…), 1⁄90 (0.011111111…), and 1⁄700 (0.001428571…). A terminating decimal is a decimal representation of a number that does not repeat; in other words, it terminates.
Conversely, every non-terminating, repeating decimal corresponds to a rational number, positional notation permitting its expression as an infinitesimple continued fraction, which may be written in standard or factored form depending on whether all prime factors of the denominator occur to an even or odd power in the continued fraction expansion respectively. In the latter case, repetition always occurs for some integer m > 0 if 10n − 1 divides pem − 1 for some n ≥ 2; for example:
1/9 = 1/(2×3) = 0.(1) = 0., because 9 divides 11 − 1 = 10;
On the other hand:
1/8 = 1/(2×2×2) ≈ 0.12(5) ≈ 0., because 8 does not divide 111 − 1 = 1000.
To convert a decimal number to a fraction, place the decimal number over 1 and multiply by a power of 10 sufficient to move all decimal places to the right of the decimal point. The whole number portion of the product is the numerator and the decimal portion is the denominator. In the problem .625 as a fraction, .625 × 100 = 62.5. The fraction 62.5/100 is equivalent to .625 as a decimal.