Question

7/2+16/7×14/16×5/2÷2 simplify dmas​

Answer 1

Answer:

The value of the given expression is $\frac{27}{2}$.

Step-by-step explanation:

Recall the BODMAS rule,

B - Brackets         O - orders         D - Division                M - Multiplication

A - Addition          S - Subtraction

Consider the expression as follows:

$\frac{7}{2} + \frac{16}{7}\times \frac{14}{16}\times \frac{5}{2}\div2$

Using BODMAS,

Solving the expression by simplifying the ÷ operation first as follows:

⇒ $\frac{7}{2} + \frac{16}{7}\times \frac{14}{16}\times 5$ (Since $\frac{5}{2}\div 2=5$)

Now, evaluate the multiplication operation one by one as follows:

⇒ $\frac{7}{2} + \left(\frac{16}{7}\times \frac{14}{16}\times 5\right)$

Simplify as follows:

⇒ $\frac{7}{2} + \left(2\times 5\right)$ (Since $\frac{16}{7}\times \frac{14}{16}=2$)

⇒ $\frac{7}{2} +10$

Lastly, simplifying the expression by adding both the numbers as follows:

⇒ $\frac{7+20}{2}$

Since LCM of the numbers $2$ and $1$ is $2$.

⇒ $\frac{27}{2}$

Therefore, the value of expression $\frac{7}{2} + \frac{16}{7}\times \frac{14}{16}\times \frac{5}{2}\div2$ is $\frac{27}{2}$.

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Answer 2

Answer:

6 is the require value of, $\frac{7}{2} + \frac{16}{7}$ × $\frac{14}{16}$ × $\frac{5}{2}$ ÷ 2

Step-by-step explanation:

Explanation:

Given in the question that, $\frac{7}{2} + \frac{16}{7}$ × $\frac{14}{16}$ × $\frac{5}{2}$ ÷ 2

• Bodmas, The abbreviation BODMAS stands for the series of steps that must be taken to simplify mathematical equations.

• Bracket, Order, Division, Multiplication, Addition, and Subtraction are all abbreviated as BODMAS.

Step 1:

From the question we have,

$\frac{7}{2} + \frac{16}{7}$ × $\frac{14}{16}$ × $\frac{5}{2}$ ÷ 2

According to the BODMAS rule we first solve the division part, then the multiplication part.

$\frac{7}{2} + \frac{16}{7}$ × $\frac{14}{16}$ × $\frac{5}{4}$

⇒  $\frac{7}{2} + \frac{16}{7}$ × $\frac{14}{16}$ × $\frac{5}{4}$

⇒$\frac{7}{2}$ + $\frac{5}{2}$ = $\frac{7 + 5}{2}$ = $\frac{12}{2}$ = 6

Final answer:

Hence, 6 is the require value of, $\frac{7}{2} + \frac{16}{7}$ × $\frac{14}{16}$ × $\frac{5}{2}$ ÷ 2

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