![]() Fractional InchĪ inch is fractioned in two halves that, in its turn, also are divided in its halves and so on successively. The same if both are divisible by three, five … and so on. No intention to make someone decorate this: if both the numerator and denominator are even numbers it is possible to simplify. We know that 4/8 it’s the same of 1/2 and we must express the fraction in the form of 1/2. ![]() The fraction must be expressed in its simplest possible form or irreducible. Always express it in the mixed form (1 5/8). Keeping the fraction like this is a kind of trap armed against you. See that 1 5/8 it’s equal to 1 + 5/8 = 8/8 + 5/8 = 13/8 (keeping the denominator and summing the numerator ).ġ3/8 it’s what we call of ‘improper fraction’ (the value of the numerator is bigger than the denominator). It is not recommended, or elegant, to express the whole number this way. ![]() See, in Figure 1, the distance between 0 and 1 is a whole that is divided into eight eighths. It is also possible to represent a whole number in fraction form. In this example, we consider a ‘full’ unit and another five pieces of which was divided into eight (one and five-eighths). The numerator express how many shares will be considered (five). In the example of Figure 1 it was divided into eight parts. The denominator express in how many parts the whole is divided. The example in figure 1 represents an ‘mixed fraction’, which is greater than the unit, in this case, the quantity of wholes is represented to the left of the dividing line (think in a entire pizza more than five pieces). The number over the line is the ‘ numerator‘ and the underneath is the ‘ denominator‘. Generally, the fraction is represented by a pair of numbers aligned in the vertical and separator by a line divider. Subtraction works the same way: 7/8" - 3/16"= 14/16" - 3/16" = 11/16".įractions more than an inch are written: 1 3/16 " or 5 3/8 ".įractions more than an inch are compound fractions and must be reduced to add or subtract.Figure 1 – representation of a mixed fraction and its corresponding fractional 1/2" equals 2/4", so 4 is our common denominator. for example, to add 1/2 and 1/4, you need a common denominator. To add or subtract fractions, you need a lowest common denominator. Three is an odd number so the fraction has been reduced as far as it can go. One is an odd number, so 1/2 is reduced as far as it can be. ![]() To reduce a fraction, divide both the numerator and denominator by two, continuing until the numerator is an odd number. It is accurate to say that one half of an inch is 4/8, but it is incorrect to write it that way. So 1/4 of an inch is written 1/4".įractions need to be reduced when writing them down. The symbol for fractions of inches when writing them is the quote mark, " after the fraction. The denominator is the bottom number and it tells us what unit of fraction we are working with (ie: it denotes fourths, halves, etc.) The numerator tells us how many of that unit of fraction we are dealing with (ie: it enumerates how many fourths, halves, etc.) The lines at each rank get shorter, ie: 1/4 is shorter than 1/2 1/8 is shorter than 1/4 and 1/16 is shorter than 1/8.įractions have two parts, the numerator and the denominator. The largest division, 1/2", has the longest line. The divisions have a visual cue, as well, to make the ruler easier to read. The part of you architect's scale ruler that has the number 16 at the end also looks like this. A typical inch ruler has each inch divided into 16 segments (some may have 1/32, or even 1/64, but we are only concerned with 1/16)īe sure you are looking at the inch scale and not the centimeter scale. ![]()
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