Question

EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT. I'M GIVING 100 POINTS AND I NEED ANSWERS

Answer 1

You are right they both give the same answer just a different problem

Answer 2

Explanation:

`28\cdot(4)/(7)=(28)/(1)\cdot(4)/(7)=(28\cdot4)/(1\cdot7)\\\\\text{simplify 28 and 7 (divide both by 7)}\\\\=(28\!\!\!\!\!\diagup^4\cdot4)/(1\cdot7\!\!\!\!\diagup_1)=(4\cdo4)/(1\cdot1)=(16)/(1)=16`

`(28)/(7)\cdot4=(28:7)\cdot4=4\cdot4=16`

`\text{Both expressions give the same result.}`

`28\cdot(4)/(7)=(28)/(7)\cdot4\\\\28\cdot(4)/(7)=(28)/(1)\cdot(4)/(7)=(28\cdot4)/(1\cdot7)=(28\cdot4)/(7\cdot1)=(28)/(7)\cdot(4)/(1)=(28)/(4)\cdot4`

Your question:

EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT

It all depends on the content of the question for which these expressions are.

Qestion:

Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?

Correct is 28 * 4/7.

(You calculate a fraction of a number).

28/7 * 4 - gives the same result. But the expression does not match the content of the question.