1

Problem

Solve the equation \$(6) div (4/5) times (7/8)\$.

2

Step

Given Fraction

\$6/1 div 4/5 times 7/8\$

3

Hint

Turn the second fraction upside down (it becomes a reciprocal)

\$6/1 times 5/4 times 7/8\$

4

Step

Multiply the numerators and denominators of the improper fractions

\$(6 times 5 times 7)/(1 times 4 times 8)\$ ⇒ \$210/32\$

5

Step

Divide the fraction

210 ÷ 32

6

Step

Write the value of the quotient

6.56

7

Solution

Therefore, 6.56 is the decimal number that is needed.

8

Sumup

Please summarize steps

Choices

9

Choice-A

This is incorrect. The value of \$(6) div (4/5)\$, but it does not include the multiplication by the \$7/8\$

Wrong 7.5

10

Choice-B

This is incorrect because the result is greater than 6.4

Wrong 6.4

11

Choice-C

This is correct, as the calculated result is approximately 6.5625

Wrong 6.56

12

Choice-D

This option is incorrect and unrelated to any valid step in the calculation

Wrong 5.3

13

Answer

Option

C

14

Sumup

Please summarize choices