Equivalent fractions can be found by either dividing or multiplying both the numerator and denominator by the same nonzero number. For example, when the top, or numerator, and bottom, or denominator, of the fraction 2/4 is divided by 2, the result is the equivalent fraction 1/2. When the top and bottom of 2/4 is multiplied by 2, the equivalent fraction is 4/8.
Know MoreEquivalent fractions are fractions that represent the same value, although the numbers in the fraction are different. When a fraction can no longer be divided by a whole number, the fraction has been reduced to its simplest form, or simplified. For example, 1/2 can no longer be divided by a whole number. Other equivalent fractions of 2/4 are 6/12, 8/16 and 10/20. Equivalent fractions can only be found by multiplying or dividing, not by adding or subtracting.
Other types of fractions include proper, improper, reciprocal and mixed number. Proper fractions are fractions when the numerator is a smaller number than the denominator. Examples of proper fractions include 1/2, 4/5 and 5/25. Improper fractions are fractions that have a smaller denominator than numerator. Examples of these include 9/1, 8/3 and 6/4. Fractions that have an equal numerator and denominator, such as 10/10, are also improper fractions. Reciprocal fractions are fractions that when multiplied, equal 1. For example, 4/3 and 3/4 are reciprocals because 3/4*4/3 is equal to 12/12, or 1. Mixed numbers are comprised of a whole number, such as 6, and a proper fraction, such as 1/5, which together are written as 6 1/5.
Learn MoreA horizontal line runs parallel to the horizon, at a 90 degree angle to a vertical line. A person lying down in a flat position would create a horizontal line; a standing person would create a vertical line.
Full Answer >Improper fractions are those in which the numerator (top number) is larger than the denominator (bottom number). According to Math is Fun, improper fractions are better for use in mathematical formulae, but mixed fractions are better for understanding and spoken language. When dealing with formulae or math operations, wait until you have made all the other manipulations before converting a fraction to a mixed number for your final answer.
Full Answer >To convert an improper fraction to a mixed number, divide the numerator by the denominator and express the quotient as the whole number. Write the remainder as the numerator of the new fraction, keeping the original denominator.
Full Answer >The lengths of the sides of a 30-60-90 triangle always exist in the proportional pattern 1:2:sqrt 3. The shorter side is half as long as the hypotenuse, and the length of the longer side is found by multiplying the length of the shorter side by the square root of three. Knowing this pattern makes it possible to find the lengths of the other two sides if one side is given.
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