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