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vodka [1.7K]
3 years ago
15

Apply the distributive property to factor out the greatest common factor. 45e -27f

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:

9 (5e - 3f)

Step-by-step explanation:

45e -27f

45e = 9*5*e

27f = 9*3*f

The common factor is 9

9*5*e -  9*3*f

9 (5e - 3f)

son4ous [18]3 years ago
5 0

Answer:

9

Step-by-step explanation:

(9)(5e) - (9)(3f)

9(5e - 3f)

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Yes, is subtraction, to get their "difference".

first off, let's convert the mixed fractions, to "improper", and then subtract.

\bf \stackrel{red~yarn}{9\frac{1}{5}}-\stackrel{blue~yarn}{3\frac{11}{25}}

\bf -------------------------------\\\\
\stackrel{mixed}{9\frac{1}{5}}\implies \cfrac{9\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{46}{5}}
\\\\\\
\stackrel{mixed}{3\frac{11}{25}}\implies \cfrac{3\cdot 25+11}{25}\implies \stackrel{improper}{\cfrac{86}{25}}\\\\
-------------------------------\\\\
\cfrac{46}{5}-\cfrac{86}{25}\impliedby \textit{our LCD is 25}\implies \cfrac{(5\cdot 46)~~-~~(1\cdot 86)}{25}
\\\\\\
\cfrac{230~-~86}{25}\implies \cfrac{144}{25}\implies 5\frac{19}{25}
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