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
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 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
