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Sindrei [870]
2 years ago
9

3 times as much as the sum of 3-4 and 2-6.

Mathematics
2 answers:
musickatia [10]2 years ago
7 0
2 - 3 = -1 2 - 6 = -4  -4 + -1 = -5  -5 x 3 = ?
alisha [4.7K]2 years ago
3 0

¹³/₄ or 3¹/₄ or 3.25

<h3>Further explanation</h3>

<u>The Problem:</u>

  • 3 times as much as the sum of \frac{3}{4} and \frac{2}{6}
  • Write an expression to match, and then solve.

<u>The Process:</u>

Here are some early expressions that need attention.

  • three-quarter is \boxed{\frac{3}{4}}
  • two-sixth is \boxed{\frac{2}{6}}
  • the sum of \frac{3}{4} \ and \ \frac{2}{6} is \boxed{\frac{3}{4} + \frac{2}{6}}

Let us write an expression to match for 3 times as much as the sum of \frac{3}{4} and \frac{2}{6}

\boxed{\boxed{ \ 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }}

Let us calculate the operation in parentheses at first.

\frac{3}{4} + \frac{2}{6}

A least common multiple of 4 and 6 is 12. We use to equate the denominator.

\frac{3 \times 3}{4 \times 3} + \frac{2 \times 2}{6 \times 2}

\frac{9}{12} + \frac{4}{12}

\frac{13}{12}

And now we solve the full expression.

\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }

\boxed{ \ = 3 \times \frac{13}{12} \ }

We cross out 3 and 12 because they both can be divided.

\boxed{ \ = 1 \times 1\frac{13}{4} \ }

\boxed{\boxed{ \ = \frac{13}{4} \ }}

In mixed fraction:

\boxed{ \ \frac{13}{4} = \ ? \ }

\boxed{ \ = \frac{12}{4} + \frac{1}{4} \ }

\boxed{ \ = 3 + \frac{1}{4} \ }

\boxed{\boxed{ \ = 3\frac{1}{4} \ }}

In decimal:

\boxed{ \ 3\frac{1}{4} = \ ? \ }

\boxed{ \ = 3\frac{1 \times 25}{4 \times 25} \ }

\boxed{ \ = 3\frac{25}{100} \ }

\boxed{\boxed{ \ = 3.25 \ }}

\boxed{\boxed{ \ Thus, \ the \ result \ is \ \frac{13}{4} \ or \ 3\frac{1}{4} \ or \ 3.25 \ }}

- - - - - - - - - -

<u>Quick Steps:</u>

Simplify \boxed{\frac{2}{6} = \frac{1}{3}}

\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }

\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{1}{3} \bigg) \ }

\boxed{ \ = 3 \times \bigg(\frac{3 \times 3}{4 \times 3} + \frac{1 \times 4}{3 \times 4} \bigg) \ }

\boxed{ \ = 3 \times \bigg(\frac{9}{12} + \frac{4}{12} \bigg) \ }

\boxed{ \ = 3 \times \frac{13}{12} \ }

\boxed{\boxed{ \ = \frac{13}{4} \ }}

\boxed{\boxed{ \ = 3\frac{1}{4} \ }}

\boxed{\boxed{ \ = 3.25 \ }}

<h3>Learn more  </h3>
  1. 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462
  2. tex]\frac{2}{3}[/tex] of the product of \frac{3}{8} and 16 brainly.com/question/961462
  3. 15 times as much as 1 fifth of 12 is brainly.com/question/348151

Keywords: 3 times, as much as, the sum of 3/4 and 2/6, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25

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