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Mathematics 13 Online
Allison:

Stupid algebra again

Allison:

3/5 + 1/2

Shadow:

You can’t add fractions that have different denominators.

Shadow:

Do you know what the denominator is?

Allison:

Yes the bottom number

Allison:

I got it. •-•

Shadow:

You sure?

Allison:

Yes don’t stalk my DMs…

Shadow:

?

Allison:

I got help :D

Shadow:

Okay

Shadow:

3/5 + 1/2 You would find what is called the least common denominator. This is also the least common multiple. A multiple is a number multiplied by an integer (whole number). You need to find a multiple that both denominators share. Thus, least common denominator. 5 times 2 = 10 2 times 5 = 10 We must alter the form of these fractions, but retain their value. Do so by multiplying by 1. \[\frac{ 3 }{ 5 } \times \frac{ 2 }{ 2} = \frac{ 6 }{ 10 }\] \[\frac{ 1 }{ 2 } \times \frac{ 5 }{ 5 } = \frac{ 5 }{ 10 }\] Similar to in Algebra, 'what you do to one side, do to the other." What you do to the bottom, do to the top. This keeps the value the same, and also 5/5 = 1 and 2/2 = 1. Multiply by 1 means the number stays the same \[\frac{ 6 }{10 } + \frac{ 5 }{ 10 } = \frac{ 11 }{ 10 }\]

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