Respuesta :

Answer:

39.2

Step-by-step explanation:

We need to find the solution of 7 copies of sum of 8 fifths and 4.

Now, 8 fifths = [tex]\frac{8}{5}[/tex]

Then, sum of 8 fifths and 4 = [tex]\frac{8}{5}+4[/tex] = [tex]\frac{28}{5}[/tex]

Now, 7 copies of [tex]\frac{28}{5}[/tex] means that we meed to multiply [tex]\frac{28}{5}[/tex] 7 times

i.e. 7 copies = [tex]7\times \frac{28}{5}[/tex]

i.e. 7 copies = [tex]\frac{196}{5}[/tex]

i.e. 7 copies = 39.2

Hence, 7 copies of sum of 8 fifths and 4 is 39.2

39¹/₅ or 39.2

Further explanation

The Problem:

  • 7 copies of the sum of 8 fifths and 4.
  • Write an expression to match, and then evaluate.

The Process:

Here are some early expressions that need attention.

  • 8 fifths is [tex]\boxed{\frac{8}{5}}[/tex]
  • the sum of 8 fifths and 4 is [tex]\boxed{\frac{8}{5} + 4}[/tex]

7 copies of the sum of 8 fifths and 4 mean that we have to multiply 7 with the sum of 8 fifths and 4.  The term of "the product" is synonymous with multiplication.

Let us write an expression to match for '7 copies of the sum of 8 fifths and 4'.

[tex]\boxed{\boxed{ \ 7 \times \bigg(\frac{8}{5} + 4 \bigg) \ }}[/tex]

Let us calculate the operation in parentheses at first.

[tex]\boxed{ \ \frac{8}{5} + 4 \ }[/tex]

[tex]\boxed{ \ \frac{8}{5} + \frac{20}{5} \ }[/tex]

[tex]\boxed{ \ \frac{28}{5} \ }[/tex]

And now we solve the full expression.

[tex]\boxed{ \ = 7 \times \bigg(\frac{8}{5} + 4 \bigg) \ }[/tex]

[tex]\boxed{ \ = 7 \times \frac{28}{5} \ }[/tex]

[tex]\boxed{\boxed{ \ \frac{196}{5} \ }}[/tex]

In mixed fraction:

[tex]\boxed{ \ \frac{196}{5} = \ ? \ }[/tex]

[tex]\boxed{ \ = \frac{195}{5} + \frac{1}{5} \ }[/tex]

[tex]\boxed{ \ = 39 + \frac{1}{5} \ }[/tex]

[tex]\boxed{\boxed{ \ 39\frac{1}{5} \ }}[/tex]

In decimal:

[tex]\boxed{ \ 39\frac{1}{5} = \ ? \ }[/tex]

[tex]\boxed{ \ = 39\frac{1 \times 2}{5 \times 2} \ }[/tex]  

[tex]\boxed{ \ = 39\frac{2}{10} \ }[/tex]  

[tex]\boxed{\boxed{ \ 39.2 \ }}[/tex]

Thus, the result is [tex]\boxed{\boxed{ \ 39\frac{1}{5} \ or \ 39.2 \ }}[/tex].  

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Keywords: what, 7 copies, the sum of, 8 fifths and 4, write an expression to match, and then evaluate, 39¹/₅ or 39.2, multiply, parentheses, in mixed fraction, decimal