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How do you find the common denominator?

Find the denominators of the fractionsThe denominator is the bottom number in a fraction. For example, if the fractions are 3/5 and 1/7, then 5 and 7 are the denominators. List the multiples of the denominatorsMake a list of the first ten multiples of the denominators. In the example from Step 1, the first ten multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45 and 50. The first ten multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63 and 70.Choose the lowest multiple that both denominators shareLook at the list of multiples for the denominators and choose the one that is the same in both lis..

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What are two rays with a common endpoint?

There are different ways to name an angle. Students can use the three points like E, F, and G, where E and G are points on each ray and F is the vertex point. Three ways of naming this angle are: angle EFG, angle F, or angle GFE.There are many different angles formed from two rays and a vertex point, such as a right, acute, obtuse, or straight angle. While an obtuse angle is greater than 90 degrees, an acute angle is less than 90 degrees. A straight angle is a line that has 180 degrees.

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How do you find the height of a scalene triangle?

A scalene triangle has three sides that are unequal in length, and the three angles are also unequal. To find the height of a scalene triangle, the three sides must be given, so that the area can also be found. If a scalene triangle has three side lengths given as A, B and C, the area is given using Heron's formula, which is area = square root{S (S - A)x(S - B) x (S - C)}, where S represents half the sum of the three sides or 1/2(A+ B+ C).To find the height h from the given triangle area formula, rearrange it as h = 2(area)/b. Let b equal the side length B and find the area A with Heron&a..

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How do you write a number in scientific notation?

Write the digits of the number with the decimal point after the first digitNo matter how big or small the number is, write the numbers that are not zeros as regular digits with a decimal point after the first digit. If there is only one digit, the decimal point is not necessary. After this number, write the multiplication sign and the number 10.Count how far to the right or left the decimal point needs to moveLooking at the original number, count how many spaces the decimal point in your newly written number needs to move to the right or left to create the original number again. Write that num..

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How do you find the area of a trapezoid?

For example, consider Trapezoid G with base lengths of 8 and 10 inches and a height of 4 inches. Using the formula, add the length of the two bases, divide the sum by two and multiply the figure by four to determine that the area of Trapezoid G is 36 square inches [(8 + 10)/2(4)].

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What is a favorable outcome in mathematics?

In statistics, a sample space is comprised of all possible outcomes that can result from performing trials of an experiment. An event is the set of all elements belonging to the sample space that defines a specific instance. This instance, or favorable outcome, is used to determine the probability of an event happening. The probability of an event that is not likely to occur is 0, while the probability of a favorable outcome that is certain to occur is 1.

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What is an integer in math?

Adding, subtracting and multiplying two integers always results in another integer. The ratio, or division, of two integers is a rational number. A number line is a way to graph and to add and subtract integers by counting forward and backward. Integers are the second set in the hierarchy of numbers, which includes the subset of all natural numbers as integers. Real numbers and rational numbers include all integers.

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What is a 3D hexagon called?

Many pencils are in the shape of a long hexagonal prism before they are sharpened. A hexagon is classified as a six-sided polygon, which is a geometric object with line segments joining a number of points. Patterns containing hexagons are frequent in nature because they are efficient. In a grid with a hexagonal pattern, lines are the shortest possible to fill the area with the fewest number of hexagons. The pattern allows honeycombs to use less wax to construct and to remain strong under compression.

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What is a disadvantage of using range as a measure of dispersion?

If outliers exist in a set of data such that the lowest or highest extremes are far away from almost every other data element in the set, then range may not be the best way to measure dispersion. For example, if one were to measure a student's consistency on quizzes, and he scored {40, 90, 91, 93, 95, 100} on six different quizzes, the range would be 60 points, marking considerable inconsistency. However, five of the six quizzes show consistency in the student's performance, achieving within 10 points of each other on all of these.\nUsing other methods of dispersion, such as measurin..

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How do you describe lines that meet at right angles?

In two-dimensional plane geometry, whether or not two lines are perpendicular is determined by taking the product of the slopes. If the two lines are perpendicular, the product of the slopes is -1. For instance, a line with slope 5 is perpendicular to any line with slope -1/5. Any vertical line is defined as perpendicular to any horizontal line. This rule is necessary because the slope of a vertical line is undefined, and the slope of a horizontal line is zero.

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