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algol [13]
3 years ago
7

the area of ava rectangular back yard is 325 square yards.if the length of the yards is 13 yards,what is the width of the yard

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0
325 square yards divided by 13 square yards equals 25 square yards.
Viktor [21]3 years ago
6 0

It is given in the question that, The area of ava rectangular back yard is 325 square yards and the length of the yards is 13 yards.

Let the width be w yard .

And area of rectangle is the product of length and width .

So we have

325 = 13 w

Dividing both sides by w

\frac{325}{13} = \frac{13w}{13} => w = 25 yards .

So the width is 25 yards .


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Step-by-step explanation:

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The sum of 1/6,2/3, and 1/4 is
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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}\ }

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

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