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shtirl [24]
2 years ago
15

7 times as much as the sum of 1/3 and 4/5

Mathematics
2 answers:
Vlada [557]2 years ago
4 0
7( \frac{1}{3} +  \frac{4}{5} )

=7( \frac{1(5)}{3(5)} +  \frac{4(3)}{5(3)} )

=7( \frac{5}{15} +  \frac{12}{15} )

=7( \frac{17}{15})

=\frac{7}{1} ( \frac{17}{15})

=\frac{119}{15}

= 7\frac{14}{15} ≈ 7.93
algol132 years ago
4 0

¹¹⁹/₁₅ or 7¹⁴/₁₅ or 7.93

<h3>Further explanation</h3>

<u>The Problem:</u>

  • 7 times as much as the sum of \frac{1}{3} and \frac{4}{5}
  • Write an expression to match, and then solve it.

<u>The Process:</u>

Here are some early expressions that need attention.

  • one-third is \boxed{\frac{1}{3}}
  • four-fifth is \boxed{\frac{4}{5}}
  • the sum of \frac{1}{3} \ and \ \frac{4}{5} is \boxed{\frac{1}{3} + \frac{4}{5}}

Let us write an expression to match for 7 times as much as the sum of \frac{1}{3} and \frac{4}{5}

\boxed{\boxed{ \ 7 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }}

Let us calculate the operation in parentheses at first.

\boxed{\frac{1}{3} + \frac{4}{5}}

A least common multiple of 3 and 5 is 15. We use to equate the denominator.

\boxed{\frac{1 \times 5}{3 \times 5} + \frac{4 \times 3}{5 \times 3}}

\boxed{\frac{5}{15} + \frac{12}{15}}

\boxed{\frac{17}{15}}

And now we solve the full expression.

\boxed{ \ = 7 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }

\boxed{ \ = 7 \times \frac{17}{15} \ }

We do not cross out 7 and 15 because they both cannot be divided.

\boxed{ \ = \frac{119}{15} \ }

\boxed{\boxed{ \ = \frac{119}{15} \ }}

In mixed fraction:

\boxed{ \ \frac{119}{15} = \ ? \ }

\boxed{ \ = \frac{105}{15} + \frac{14}{15} \ }

\boxed{ \ = 7 + \frac{14}{15} \ }

\boxed{\boxed{ \ = 7\frac{14}{15} \ }}

In decimal:

\boxed{ \ 7\frac{14}{15} = \ ? \ }

\boxed{ \ \frac{14}{15} = 0.93 \ }

\boxed{ \ = 7 + \frac{14}{15} \ }

\boxed{ \ = 7 + 0.93 \ }

\boxed{\boxed{ \ = 7.93 \ }}

\boxed{\boxed{ \ Thus, \ the \ result \ is \ \frac{119}{15} \ or \ 7\frac{14}{15} \ or \ 7.93 \ }}

- - - - - - - - - -

<u>Quick Steps:</u>

\boxed{ \ = 3 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }

\boxed{ \ = 3 \times \bigg(\frac{5 + 12}{15} \bigg) \ }

\boxed{ \ = 3 \times \bigg(\frac{17}{15} \bigg) \ }

\boxed{\boxed{ \ = \frac{119}{15} \ }}

\boxed{\boxed{ \ = 7\frac{14}{15} \ }}

\boxed{\boxed{ \ = 7.93 \ }}

<h3>Learn more  </h3>
  1. 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462
  2. \frac{2}{3} 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: 7 times, as much as, the sum of 1/3 and 4/5, 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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LekaFEV [45]

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

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