Verified Answer :

Neuron

If you would like to solve the following expression, you can calculate it like this:

2/3 of the product of 3/8 and 16:
2/3 of (3/8 16) = 2/3 (3/8 16) = 2/3 48/8 = 2/3 * 6 = 4

The correct result would be 4.

4

Further explanation

The Problem:

  • \(\frac{2}{3}\) of the product of \(\frac{3}{8}\) and 16.
  • Write an expression to match and then evaluate.

The Process:

Here are some early expressions that need attention.

  • two-thirds is \(\frac{2}{3}\)
  • three-eights is \(\frac{3}{8}\)
  • the product of \(\frac{3}{8}\) and 16 is \({\frac{3}{8} \times 16}\)

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

Let us write an expression to match for \(\frac{2}{3}\) of the product of  \(\frac{3}{8}\) and 16.

\(\boxed{\boxed{ \ \frac{2}{3} \times \bigg( \frac{3}{8} \times 16 \bigg) \ }}\)

And now we evaluate the full expression.

\(\boxed{ \ \frac{2}{3} \times \bigg( \frac{3}{8} \times 16 \bigg) \ }\)

We can cross out 8 and 16.

\(\boxed{ \ \frac{2}{3} \times (3 \times 2) \ }\)

\(\boxed{ \ \frac{2}{3} \times 6 \ }\)

We can cross out 3 and 6.

\(\boxed{ \ 2 \times 2 \ }\)

Thus, the result is 4.

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Quick Steps:

\(\boxed{ \ \frac{2}{3} \times \frac{3}{8} \times 16) \ }\)

\(\boxed{ \ \frac{1}{1} \times \frac{1}{4} \times 16) \ }\)

\(\boxed{ \ \frac{16}{4} \ or \ 16 \div 4) \ }\)

\(\boxed{\boxed{ \ 4 \ }}\)

Learn more

  1. Write an expression to match for 15 times as much as 1 fifth of 12 and then evaluate brainly.com/question/2662877
  2. 7 copies of the sum of 8 fifths and 4 brainly.com/question/945784
  3. ¹/₈ the sum of 23 and 17 https://brainly.com/question/275617

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