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MissTica
3 years ago
15

Find the least common denominator for the group of fractions. 5/12, 9/14, 2/5, 1/10

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

9514 1404 393

Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

  5 = 5

  10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
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Solve for x. 4x-4&lt; 8<br> AND 9x +5 &gt; 23<br> is it a, b,c or d ?
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Answer:

A)\displaystyle2 <  x   < 3

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities

we are given that

\displaystyle 4x - 4 < 8 \  \: \text{and} \:  \: 9x + 5 > 23

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\displaystyle 4x - 4 < 8

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\displaystyle 4x  < 12

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\displaystyle x  < 3

<u>solving</u><u> </u><u>x </u><u>for</u><u> the</u><u> </u><u>second</u><u> equation</u><u>:</u>

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therefore by combining the equations we obtain:

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