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