$comparing fractions calculator$

$comparing fractions calculator$

#Comparing fractions calculator how to#

For example, if you want to scale up the ratio 1:3 by a factor of 3, multiplying both sides by 3 leaves you with a scaled-up ratio of 3:9 ( : ). To scale up a ratio, multiply both sides of the ratio by the scale factor.

#Comparing fractions calculator how to#

A = C 12 60 16 80 B D How to Scale a Ratio Up or Down Now that we know d is equal to 80, we can complete the equality. Since we know from the above formula list that d will be equal to B/A x C, we can solve for d like this: d = B/A x C d = 16/12 x 60 d = 1.3333333333333333 x 60 d = 80 To illustrate how to solve for missing value, suppose you are presented with the following problem to solve: A = C 12 60 16 d B D Solve for the unknown variable once you have it on one side of the equality all by itself.ĭepending on which of the four values is unknown, getting the unknown variable by itself on one side of the equality will leave you with one of the following formulas to solve:.Multiply both sides of the equality by the inverse of the fraction having both values.Multiply both sides of the equality by the unknown variable.If you are given a ratio equality problem where one of the values is missing (A:B = C:D), you follow these steps: The ratio 12:16 is not equal to the ratio 20:25. Or, if checking to see if 12:16 is equal to 20:25, dividing 12 by 16 equals 0.75, and 20 divided by 25 equals 0.80. The ratio 12:16 is equal to the ratio 54:72. Then compare the two results to see if they are equal.įor example, if checking to see if 12:16 is equal to 54:72, dividing 12 by 16 equals 0.75, and 54 divided by 72 equals 0.75. To determine if two ratios are equal, for each ratio, divide the first number by the second number. 12 = 12 ÷ 4 = 3 16 16 ÷ 4 4 How to Determine if Two Ratios Are Equal So dividing both numbers by 4 leaves you with a reduced ratio of 3:4. Since a ratio can be stated as a fraction (3:4 = 3/4), you simplify ratios the same way you simplify fractions, which is to find the greatest common factor (GCF) of the two numbers, and then divide both sides by the GCF.įor example, to simplify the ratio 12:16, you find that 12 and 16 have a greatest common factor 4. Since you can reduce the fraction 12/16 to 3/4, you could say that for every three boys in the class, there are four girls. In this case, the ratio of boys to girls is 12 to 16 (12:16 or 12/16). Or, as a practical example, suppose you have a class of 28 students consisting of 12 boys and 16 girls.

$comparing fractions calculator$

Or, the first value is 0.75 of the second value. So in the above example, since 3 divided by 4 is equal to 0.75, the first value contains the second value 0.75 times. A ratio is the mathematical relationship between two values that indicates how many times the first value contains the second value, and can be expressed in one of three ways.

$comparing fractions calculator$