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Vaselesa [24]
4 years ago
11

How can knowing the gcf and lcm help you when you add subtract and multiply fractions?

Mathematics
2 answers:
Oksi-84 [34.3K]4 years ago
8 0

If the denominators are different numbers, it is necessary to find a common denominator. Find the Lowest Common Multiple (LCM) of the denominators (also known as the Lowest Common Denominator, or LCD) and convert the fractions to equivalent fractions with the same denominator. Now they have the same denominator, proceed as above.

Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12 (here LCM=12)

You don't have to do anything to fractions to multiply them, but you may need to reduce one after multiplying. To do that, find the GCF of the numerator and the denominator and divide both of them by it. If the GCF is 1, the fraction is in its simplest form.

Example: 1/4 · 2/5 = 1·2/4·5=2/20=1/10 (here GCF=2)

Maksim231197 [3]4 years ago
4 0
<span>In order to add and subtract fractions, we must be able to find a <u>common denominator</u>.
The LCD, or least common denominator, is the LCM of the denominators. Once we've added, subtracted or multiplied fractions, we often have to simplify the fraction.
In order to do this, we divide the numerator and denominator by their GCF. This means we must be able to find the LCM and GCF in order to work with fractions.</span>
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Rudiy27

Answer:

  A. $4,960

  B. 8%

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Step-by-step explanation:

<u>Part A</u>

The amount in the account at the end of 3 years is the original amount ($4000) plus the earned interest ($960). That sum will be ...

  $4,000 + 960 = $4,960 . . . account balance

__

<u>Part B</u>

The amount of interest is computed using the formula ...

  I = Prt

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  960 = 4000·r·3

  960/12000 = r = 0.08 = 8%

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__

<u>Part C</u>

The additional interest can be computed using the same formula as for part B.

  I = Prt

  I = 4000·0.01·3 = 120

The additional interest earned at a 1% higher rate would be $120.

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