Question

2/3 of the product of 3/8 and 16

Answer 1

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

$\frac{3}{8} * 16$

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

$\frac{3}{8}*\frac{16}{1} = \frac{3*16}{8*1} = \frac{48}{8} = 6$

therefore product of 3/8 and 16 is 6

next we have to find 2/3 of 6

'of' operator means multiplication

$\frac{2}{3} *\frac{6}{1} = \frac{2*6}{3*1} = \frac{12}{3} = 4$

answer is 4

Answer 2

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.

- - - - - - - - - -

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. 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