It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. 220 In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction of 3 To switch between one cake pan and another, you’ll need to know the volume of the pan you’re starting with.

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You can but you will need to adjust your recipe. An 8×8 pan has a volume of 64 and a 9×13 pan has a volume of 117. 65 divided by 117 is .54. So, you can just halve the recipe. If you want to use a 9×13 pan instead of an 8×8, double your recipe. Square and rectangular pans: measure the length and multiply it by the width. Take your measurements on the inside of the pan. So, you want to bake a cake. But, you don’t have the right-sized cake pan. Or eggs. Well, we can help you with one of those. Your local supermarket or farmer’s market should be able to help you with the latter. Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place, which constitutes 10 4, or 10,000. This would make the fraction 1234 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below. 64 th If the measurements don’t work out nicely — like if one pan is 35% larger — you’ll need to increase the numbers in the recipe by that amount to accommodate.

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To scale an object to a smaller size, you simply divide each dimension by the required scale factor. For example, if you would like to apply a scale factor of 1:6 and the length of the item is 60 cm, you simply divide 60 / 6 = 10 cm to get the new dimension. the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5 Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction 1 An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers. Multiples of 2: 2, 4, 6, 8 10, 12 To scale an object to a larger size, you simply multiply each dimension by the required scale factor. For example, if you would like to apply a scale factor of 1:6 and the length of the item is 5 cm, you simply multiply 5 × 6 = 30 cm to get the new dimension.To measure a baking pan’s depth, place a ruler on the bottom and measure to the top of the pan, without slanting the ruler. Then ask what books it reads. The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators. EX: Once you know the volume, find a pan in the list below that has a similar volume. If you choose a shallower pan, you will need to shorten the baking time and raise the oven temperature. If you choose a deeper pan, you’ll need to lengthen the baking time and lower the oven temperature.