Question

What is three less than one-fourth of the product of eight thirds and nine?

Answer 1

The product is your answer after you have multiplied something.

STEP 1:
Let's start with the product. We are multiplying (8/3) * 9.

STEP 2:
But they want 1/4 of that product which will also be multiplied: 1/4(8/3*9)

STEP 3:
3 less means you subtract 3 from the equation in step 2.

STEP 4:
Put it all together.
x= unknown number
x=1/4(8/3*9)-3
Start with inside the parentheses
x=1/4((8*9)/3)-3
x=1/4(72/3)-3
x=1/4(24)-3
Multiplication next according to the rules of PEMDAS
x= (1*24)/4-3
x=24/4-3
Division next
x=6-3
x=3

MATH RULES
PEMDAS Order of Operations
1) parentheses
2) exponents
3) multiplication
4) division
5) addition
6) subtraction


Hope this helped!! :)

Answer 2

3

Further explanation

The Problem:

What is three less than one-fourth of the product of eight thirds and nine?

The Process:

Here are some early expressions that need attention.

• one-fourth is $\frac{1}{4}$
• eight-thirds is $\frac{8}{3}$
• the product of eight thirds and nine is $\frac{8}{3} \times 9$
• one-fourth of the product of eight thirds and nine is $\frac{1}{4} \times \bigg( \frac{8}{3} \times 9 \bigg)$

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

Let us write an expression to match for "three less than one-fourth of the product of eight-thirds and nine".

$\boxed{\boxed{ \ \bigg( \frac{1}{4} \times \bigg( \frac{8}{3} \times 9 \bigg) \bigg) - 3 \ }}$

Let us calculate the operation in parentheses at first.

$\boxed{ \ \frac{8}{3} \times 9 \ }$

We can cross out 3 and 9.

$\boxed{ \ 8 \times 3 \ }$

$\boxed{ \ \frac{8}{1} \times 3 \ }$

$\boxed{ \ 24 \ }$

And now we solve the full expression.

$\boxed{ \ \bigg( \frac{1}{4} \times \bigg( \frac{8}{3} \times 9  \bigg) \bigg) - 3 \ }$

We still calculate in parentheses first.

$\boxed{ \ = \bigg( \frac{1}{4} \times 24 \bigg) - 3 \ }$

We can cross out 4 and 24.

$\boxed{ \ = \bigg( \frac{1}{1} \times 6 \bigg) - 3 \ }$

$\boxed{ \ = 6 - 3 \ }$

Thus, the result is 3.

- - - - - - - - - -

Quick Steps:

$\boxed{ \ \bigg( \frac{1}{4} \times \bigg( \frac{8}{3} \times 9  \bigg) \bigg) - 3 \ }$

$\boxed{ \ = \bigg( \frac{1}{4} \times (8 \times 3) \bigg) - 3 \ }$

$\boxed{ \ = \bigg( \frac{1}{4} \times 24 \bigg) - 3 \ }$

$\boxed{ \ = 6 - 3 \ }$

$\boxed{\boxed{ \ 3 \ }}$

Learn more  

1. $\frac{2}{3}$ of the product of $\frac{3}{8}$ and 16 brainly.com/question/915563
2. 3 times as much as the sum of $\frac{3}{8} \ and \ \frac{2}{6}$
3. $\frac{1}{8}$ the sum of 23 and 17 https://brainly.com/question/275617

Keywords: what is three less, than, one-fourth, the product, eight-thirds, and nine, parentheses, the expression, 1/4, 3/8, 9,3