Answer :

finding the product of 2 numbers means that you have to multiply those numbers

[tex] \frac{3}{8} * 16 [/tex]

when multiplying fractions , numerators are multiplied by numerators and denominators by denominators

[tex] \frac{3}{8}*\frac{16}{1} = \frac{3*16}{8*1} = \frac{48}{8} = 6 [/tex]

therefore product of 3/8 and 16 is 6

next we have to find 2/3 of 6

'of' operator means multiplication

[tex] \frac{2}{3} *\frac{6}{1} = \frac{2*6}{3*1} = \frac{12}{3} = 4 [/tex]


answer is 4

BladeRunner212

4

Further explanation

The Problem:

  • [tex]\frac{2}{3}[/tex] of the product of [tex]\frac{3}{8}[/tex] and 16.
  • Write an expression to match and then evaluate.

The Process:

Here are some early expressions that need attention.

  • two-thirds is [tex]\frac{2}{3}[/tex]
  • three-eights is [tex]\frac{3}{8}[/tex]
  • the product of [tex]\frac{3}{8}[/tex] and 16 is [tex]\frac{3}{8} \times 16[/tex]

The term of "the product" is synonymous with multiplication.

Let us write an expression to match for [tex]\frac{2}{3}[/tex] of the product of [tex]\frac{3}{8}[/tex] and 16.

[tex]\boxed{\boxed{ \ \frac{2}{3} \times \bigg( \frac{3}{8} \times 16 \bigg ) \ }}[/tex]

And now we evaluate the full expression.

[tex]\boxed{ \ = \frac{2}{3} \times \bigg( \frac{3}{8} \times 16 \bigg ) \ }[/tex]

We can cross out 8 and 16.

[tex]\boxed{ \ = \frac{2}{3} \times (3 \times 2) \ }[/tex]

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

We can cross out 3 and 6.

[tex]\boxed{ \ = 2 \times 2 \ }[/tex]

Thus, the result is 4.

- - - - - - - - - -

Quick Steps:

[tex]\boxed{ \ \frac{2}{3} \times \frac{3}{8} \times 16 \ }[/tex]

[tex]\boxed{ \ \frac{1}{1} \times \frac{1}{4} \times 16 \ }[/tex]

[tex]\boxed{ \ \frac{16}{4} \ or \ 16 \div 4 \ }[/tex]

[tex]\boxed{\boxed{ \ 4 \ }}[/tex]

Learn more

  1. Write an expression to match for 15 times as much as 1 fifth of 12 and then evaluate https://brainly.com/question/2662877
  2. 7 copies of the sum of 8 fifths and 4 https://brainly.com/question/945784
  3. 4 times as much as 3 is brainly.com/question/573729

Keywords: 2/3, the product of 3/8 and 16, write an expression to match, and then evaluate, cross out, two-thirds, three-eights, synonymous with multiplication, the result, 4

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