in words explain how to simplify,ratios,and common denomerators.use each metod to comper 3/4 and 9/12.explain the proses in words. im desperet my homework is due fraiday november 16,2012.
Three-fourths and nine-twelveths are equivalent. Multiplying both numerator and denominator of the former by three will give you the latter.
Use you own words.
To simplify ratios, you need to find the greatest common divisor (GCD) of the numbers in the ratio and divide them by that common divisor.
1. For example, to simplify the ratio 3/4, find the GCD of 3 and 4, which is 1. Divide both numbers by 1 to get the simplified ratio of 3/4.
2. To simplify the ratio 9/12, find the GCD of 9 and 12, which is 3. Divide both numbers by 3 to get the simplified ratio of 3/4.
To find the common denominator between two fractions, you need to find the least common multiple (LCM) of the denominators.
1. For example, the denominators in 3/4 and 9/12 are 4 and 12.
2. Find the LCM of 4 and 12, which is 12.
3. Multiply the numerator and denominator of the first fraction (3/4) by 3, which gives you 9/12.
4. Now both fractions have a common denominator of 12.
To compare the fractions 3/4 and 9/12, you can use either simplified ratios or common denominators method.
Using the simplified ratios method:
1. Simplify both fractions individually. 3/4 remains as 3/4, and 9/12 simplifies to 3/4.
2. Since both fractions are now identical (3/4), we can conclude that they are equal.
Using the common denominators method:
1. Find the common denominator, which is 12, as explained earlier.
2. Rewrite both fractions with the common denominator:
- 3/4 becomes 9/12 (multiplied numerator and denominator by 3)
- 9/12 stays the same
3. Now you can compare the numerators: 9 is equal to 9.
4. Since the numerators are equal, we can conclude that the fractions are equal.
Remember that when comparing fractions, you need to have them in their simplest form or have a common denominator for an accurate comparison.