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In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets
The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple. The product of the denominators is always a common denominator, as in: + = + =
A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
The series' terms (1, −2, 3, −4, ...) do not approach 0; therefore 1 − 2 + 3 − 4 + ... diverges by the term test.Divergence can also be shown directly from ...
Mortgage and refinance rates for Jan. 22, 2025: Average rates for 30-year terms inch lower, while 15-year terms move higher Kelly Suzan Waggoner Updated January 22, 2025 at 3:32 AM
A ratio that has integers for both quantities and that cannot be reduced any further (using integers) is said to be in simplest form or lowest terms. Sometimes it is useful to write a ratio in the form 1:x or x:1, where x is not necessarily an integer, to enable comparisons of different ratios. For example, the ratio 4:5 can be written as 1:1 ...
It can also lead to long-term health effects, such as liver disease if done on a regular basis. A September 2024 study reported that excessive alcohol use was linked to a higher risk of six types ...
Your loan term. While the 30-year mortgage remains a popular way for Americans to purchase homes, you can find terms of 20 years, 15 years and 10 years. ... the federal funds target interest rate ...