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valentinak56 [21]
3 years ago
13

What is the lowest common denominator for these fractions?

Mathematics
2 answers:
PIT_PIT [208]3 years ago
7 0

Answer:

10

  • Multiply both parameters by the least common multiple of each.

\frac{3*2}{5 * 2} = \frac{6}{10}

\frac{1*1}{10*1} = \frac{1}{10}

  • The lowest denominator cannot be 5, because that would mean you would have to reduce 1/10, and you cannot since 1/10 is a unit fraction, meaning it has a numerator of 1. However, 3/5 in that scenario would remain the same, since it already has a denominator of 5, but 10 does not have both parameters divisible by 5, therefore, eliminate option B.
  • It is also not A. because A. is too high, option A. would actually be the highest denominator you can go for in this situation, which we are not going for. We are going for the <em>lowest</em> denominator logically possible.

________________________________________________________

With that information, the correct answer is option C, 10

________________________________________________________

<h3>What have we learned?</h3>

We learned how to find the least common denominator of fractions whose parameters are not the same.

Questions related to this topic? Ask me in the <em>comments </em>box.

katrin [286]3 years ago
6 0

Answer:

10

Step-by-step explanation:

hope this helps

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<h2>5</h2>

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Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5
myrzilka [38]

Answer:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Step-by-step explanation:

Given

\frac{2}{3}\ of\ \frac{3}{5}

Solving (a): Multiplication sentence

\frac{2}{3}\ of\ \frac{3}{5}

Rewrite of as *

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}

Solve

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Hence, the multiplication sentence is:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

  • Draw a rectangle
  • Partition in to 5 equal parts (5 represents the denominator)
  • Shade 2 of the 5 partitions (2 represents the numerator)

<em>See attachment for model</em>

5 0
3 years ago
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