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

Sagot :

Kattay
2 - 3 = -1 2 - 6 = -4  -4 + -1 = -5  -5 x 3 = ?
BladeRunner212

¹³/₄ or 3¹/₄ or 3.25

Further explanation

The Problem:

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

The Process:

Here are some early expressions that need attention.

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

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

[tex]\boxed{\boxed{ \ 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }}[/tex]

Let us calculate the operation in parentheses at first.

[tex]\frac{3}{4} + \frac{2}{6}[/tex]

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

[tex]\frac{3 \times 3}{4 \times 3} + \frac{2 \times 2}{6 \times 2}[/tex]

[tex]\frac{9}{12} + \frac{4}{12}[/tex]

[tex]\frac{13}{12}[/tex]

And now we solve the full expression.

[tex]\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }[/tex]

[tex]\boxed{ \ = 3 \times \frac{13}{12} \ }[/tex]

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

[tex]\boxed{ \ = 1 \times 1\frac{13}{4} \ }[/tex]

[tex]\boxed{\boxed{ \ = \frac{13}{4} \ }}[/tex]

In mixed fraction:

[tex]\boxed{ \ \frac{13}{4} = \ ? \ }[/tex]

[tex]\boxed{ \ = \frac{12}{4} + \frac{1}{4} \ }[/tex]

[tex]\boxed{ \ = 3 + \frac{1}{4} \ }[/tex]

[tex]\boxed{\boxed{ \ = 3\frac{1}{4} \ }}[/tex]

In decimal:

[tex]\boxed{ \ 3\frac{1}{4} = \ ? \ }[/tex]

[tex]\boxed{ \ = 3\frac{1 \times 25}{4 \times 25} \ }[/tex]

[tex]\boxed{ \ = 3\frac{25}{100} \ }[/tex]

[tex]\boxed{\boxed{ \ = 3.25 \ }}[/tex]

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

- - - - - - - - - -

Quick Steps:

Simplify [tex]\boxed{\frac{2}{6} = \frac{1}{3}}[/tex]

[tex]\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{2}{6} \bigg) \ }[/tex]

[tex]\boxed{ \ = 3 \times \bigg(\frac{3}{4} + \frac{1}{3} \bigg) \ }[/tex]

[tex]\boxed{ \ = 3 \times \bigg(\frac{3 \times 3}{4 \times 3} + \frac{1 \times 4}{3 \times 4} \bigg) \ }[/tex]

[tex]\boxed{ \ = 3 \times \bigg(\frac{9}{12} + \frac{4}{12} \bigg) \ }[/tex]

[tex]\boxed{ \ = 3 \times \frac{13}{12} \ }[/tex]

[tex]\boxed{\boxed{ \ = \frac{13}{4} \ }}[/tex]

[tex]\boxed{\boxed{ \ = 3\frac{1}{4} \ }}[/tex]

[tex]\boxed{\boxed{ \ = 3.25 \ }}[/tex]

Learn more  

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