Mathematics

Question

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

2 Answer

  • Step-by-step explanation:

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

    [tex]\dfrac{28}{7}\cdot4=(28:7)\cdot4=4\cdot4=16[/tex]

    [tex]\text{Both expressions give the same result.}[/tex]

    [tex]28\cdot\dfrac{4}{7}=\dfrac{28}{7}\cdot4\\\\28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}=\dfrac{28\cdot4}{7\cdot1}=\dfrac{28}{7}\cdot\dfrac{4}{1}=\dfrac{28}{4}\cdot4[/tex]

    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.

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