If I am interpreting your question correctly, you are asking where the (-1) came from in the second line of the first example above. If you have other questions (like the one at the top of this post), please ask them in a comment! If the last step in the above two examples surprised or puzzled you, my post on Negative Differences may help clear up the confusion. So, in cases with more than one term in the numerator or denominator, the negative sign will have to be distributed if it is moved to the numerator or denominator: However, note that the negative sign must be applied to the entire numerator, or the entire denominator. If there are two fractions being subtracted, and you move the subtraction sign into the numerator or denominator of the fraction being subtracted, put a plus sign where the subtraction sign was (subtracting is the same as adding a negative): As the examples above illustrate, you are welcome to move the negative sign around from where it is to either of the other two positions… whichever is most convenient for you. Summarizing these equivalent fraction results:Īs long as there is only one negative sign, either in front of the fraction, or in the numerator, or in the denominator, the fraction represents a negative quantity. We end up with the negative sign in the denominator. If we multiply the above result by 1 in the form of a negative one divided by itself to create another equivalent fraction: Recall how equivalent fractions are created: multiply the original fraction by a fraction that equals one, where numerator and denominator have the same value. Placing the negative sign before the entire fraction (subtracting the fraction) is equivalent to adding the same fraction, but with a negative numerator. These principles apply to fractions as well, so: ![]() – The negative of a number can be created by multiplying the number by negative one. – Subtraction is the same thing as the addition of a negative. Two ideas are useful to keep in mind during the explanation that follows: You can enter up to 3 digits in length for each the numerators and denominators (e.g., 456/789).Question: Where should I put the negative sign when I am writing a fraction like negative two thirds?Īnswer: As long as you write only one negative sign, it does not matter where you put it. Fractions: Enter as 3/4 which is three fourths or 3/100 which is three one hundredths.Whole numbers: Up to 3 digits in length.You can enter up to 3 digits in length for each whole number, numerator or denominator (123 456/789). ![]() Keep exactly one space between the whole number and fraction and use a forward slash to input fractions. Mixed numbers: Enter as 1 1/2 which is one and one half or 25 3/32 which is twenty five and three thirty seconds.The answer is provided in a reduced fraction and a mixed number if it exists.Įnter mixed numbers, whole numbers or fractions in the following formats: ![]() This online calculator handles simple operations on whole numbers, integers, mixed numbers, fractions and improper fractions by adding, subtracting, dividing or multiplying. Mixed Numbers Calculator (also referred to as Mixed Fractions): The Mixed Numbers Calculator can add, subtract, multiply and divide mixed numbers and fractions. Do math calculations with mixed numbers (mixed fractions) performing operations on fractions, whole numbers, integers, mixed numbers, mixed fractions and improper fractions.
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