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denis23 [38]
3 years ago
10

What is the product in simplest form? −5/12⋅8/13

Mathematics
1 answer:
Tresset [83]3 years ago
3 0
The answer is -10/39.
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Answer:

y = 2x-10

Step-by-step explanation:

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The sum of 1/6,2/3, and 1/4 is
Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }

  • A fraction represents part of a whole.
  • A fraction consists of a numerator and a denominator. i.e., \boxed{ \ \frac{numerator}{denominator} \ }.
  • The numerator = the number of equal parts of a whole.
  • The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

  • Multiples of 3: \boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }
  • Multiples of 4: \boxed{ \ \{4, 8, 12, 16, ... \} \ }
  • Multiples of 6: \boxed{ \ \{6, 12, 18, ... \} \ }

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }

\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }

\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }

Then we continue adding fractions.

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }

Thus, the result is \boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }

<h3>Learn more</h3>
  1. ²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
  2. 100 is 1/10 of what? brainly.com/question/96535
  3. Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

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