Question

Simplify (44/5*35/2) / (22/7*19/8)​

Answer 1

Given:

(44/5*35/2) / (22/7*19/8)​

To find:

Simplify

Solution:

To solve the given problem, we will use the rule of VBODMAS:

V → Viniculum ( bar → ⁻ )

B → Brackets → (), {}, []

O → of (×) or Order

D → Division → ÷, /

M → Multiplication → ×

A → Addition → +

S → Subtraction → -

As given in the question, we have

$\bigg(\frac{44}{5} \times \frac{35}{2} \bigg) / \bigg(\frac{22}{7} \times \frac{19}{8} \bigg)$

now, applying BODMAS, we will first solve inside the brackets

= $\bigg(22 \times 7 \bigg) / \bigg(\frac{11}{7} \times \frac{19}{4} \bigg)$

= $\frac{\bigg(22\times 7\bigg)}{ \bigg(\frac{11}{7} \times \frac{19}{4} \bigg)}$

we will remove the brackets  

= $\frac{22\times 7}{ \frac{11}{7} \times \frac{19}{4}}$

= $\frac{22\times 7\times 7\times 4}{ 11 \times 19}$

= $\frac{2\times 7\times 7\times 4}{ 19}$

= $\frac{392}{19}$

= $\bold{20\frac{12}{19}}$

Thus, the final answer is → $\underline{\bold{20\frac{12}{19}}}$.

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