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spayn [35]
3 years ago
5

Delia has 3 5/8 yards of ribbon About how many 1/4 yard-long pieces can she cut

Mathematics
1 answer:
MrRa [10]3 years ago
3 0
She can cut 14 pieces
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<em><u>7</u></em><em><u>/</u></em><em><u> </u></em><em><u>Ans;</u></em>

\frac{x + 2}{ x + 4}  \div  \frac{ {x }^{2}  - 2x - 8}{ {x}^{2}  + 2x - 8}  \\  \\  \\  \frac{x + 2}{x + 4}  \times  \frac{ {x}^{2} + 2x  - 8 }{ {x}^{2}  - 2x - 8}  \\  \\  \\  \frac{x + 2}{x + 4}  \times  \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)}  \\  \\  \\  =1 \times   \frac{x - 2}{x - 4}  \\  \\  \\  =  \frac{x - 2}{x - 4}

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<em><u>9</u></em><em><u>/</u></em><em><u>Ans;</u></em>

\frac{ {x}^{2}  - 9}{ {x}^{2}  - 6x + 9}  \div  \frac{x + 4}{x - 3}  \\  \\  \frac{ {x}^{2} - 9 }{ {x}^{2}  - 6x + 9}  \times  \frac{x - 3}{x + 4}  \\  \\  \\  \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)}  \times  \frac{x - 3}{x + 4}  \\  \\  \\  =  \frac{(x + 3)}{1}  \times  \frac{1}{(x + 4)}  \\  \\  \\  =  \frac{x + 3}{x + 4}

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

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