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What are two equivalent ratios of 610?
Students learn to find equal ratios by first writing the given ratio as a fraction, then multiplying the numerator and denominator of the fraction by the same number. For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. Next, multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14, and multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.
How can ratios be written?
A ratio is a comparison of two numbers. You can write a ratio in these ways: a to b, a : b, or a/b. Ratios are often written as fractions. A ratio that is expressed as a fraction is generally written in lowest terms. If the ratio involves unit of measure, you must ensure that the units are the same. Example: Write ratios in lowest terms. 20/52 = (20/4)/(52/4) = 5/13 240/200 = (240/40)/(200/40) = 6/5 There are continued ratio, or extended ratio, which relates more than two numbers. Example: The measures of the angles of a triangle are related by the ratio 3 : 4 : 5. Find the measure of each angle. Solution: The ratio 3 : 4 : 5 is equivalent to 3x + 4x + 5x. We write an equation by using, 3x, 4x, and 5x to represent the measures of the angles. The sum of the angles of a triangle is 180 degrees. So, 3x + 4x + 5x = 180 12x = 180 x = 15 Thus, the measures of the angles are 45 degrees, 60 degrees, and 75 degrees.
Write each ratio as a fractoin in simplest form 7 to 9?
0.77
What are two ratios that are equal to each other?
Ratios that are equal to each other can be 3/4=75/100 or 1/4=25/100
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?
The ratios of areas are the squares of the ratio of lengths (and the ratio of volumes are cubes of the ratio of lengths). As the perimeter of the second is twice the perimeter of the first, each length of the second is twice the length of the first, and so the ratio of the lengths is 1:2 Thus the ratio of the areas is 1²:2² = 1:4. Therefore the surface area of the larger prism is four times that of the smaller prism.
