Question

Please solve this equation.✍✍✍

Answer 1

Answer:

$\huge\underline{ \underline{ \red{your \: \: answer}}}$

Step-by-step explanation:

$\sf\red{2 \frac{1}{4} \times \frac{2}{3} } \\ \\ \sf\red{ = > \frac{9}{4} \times \frac{2}{3} } \\ \\ \sf\pink{ \underline{ = = = > \frac{3}{2} }} \\ \\ \sf\red{ = > \frac{ \frac{4}{3} }{ \frac{3}{2} } } \\ \\ \sf\pink{ \underline{ = = = > \frac{1}{2} }} \\ \\ \sf\purple{} \\ \\ \sf\purple{ = > \frac{ \frac{1}{2} - \frac{1}{3} }{ \frac{1}{2} - \frac{1}{3} } } \\ \\ \sf\purple{ = > \frac{ \frac{3 - 2}{6} }{ \frac{3 + 2}{6} } } \\ \\ \sf\purple{ = > \frac{ \frac{1}{6} }{ \frac{5}{6} } } \\ \\ \sf\purple{ = > \frac{1}{6} \times \frac{6}{5} } \\ \\ \sf\pink{ \underline{ = = = > \frac{1}{5} }} \\ \sf\blue{} \\ \\ \sf\pink{ \underline{ = > \frac{1}{5} \times \frac{10}{3 } = \frac{2}{3} }} \\ \\ \\ \sf\orange{\underline{\underline{ = = = > (\frac{1}{2} - \frac{2}{3} ) + \frac{5}{6} }}}\\ \\ \sf\orange{ = = > \frac{3 - 4}{6} + \frac{5}{6} } \\ \\ \sf\orange{ = = > \frac{ - 1}{6} + \frac{5}{6} } \\ \\ \sf\orange{ = = > \frac{ - 1 + 5}{6} } \\ \\ \sf\orange{ = = > \frac{4}{6} } \\ \\ \sf\red{ \underline{ \underline{ = = = > \frac{2}{3} }}} \\ \\ \\ \large\boxed{ \fcolorbox{violet}{lime}{hope \: it \: help \: you} }$

Answer 2

Rule of BODMAS :- According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

Solution :-

Of Part :- 2(1/4) of (2/3)

→ (9/4) * (2/3)

→ (3/2)

Now,

Now,First Division Part :- (3/4) ÷ of Part

→ (3/4) ÷ (3/2)

→ (3/4) * (2/3)

→ (1/2) ----------------------------- Equation (1)

Now,

Now,Second Division Part :- (1/2 - 1/3) / (1/2 + 1/3)

Taking LCM of Numerator & Denominator,

→ {(3 - 2)/6} / {(3 + 2)/6}

→ (1/6) / (5/6)

→ 1/6 * 6/5

→ (1/5)

Now,

Now,Multiple Part :- Second Division Part * 3(1/3)

→ (1/5) * (10/3)

→ (2/3) -------------------- Equation (2).

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Now,

Now,From Equation (1) and (2), Our Question becomes ,

→ (1/2) - (2/3) + (5/6)

Taking LCM,

→ (3 - 2*2 + 5) /6

→ (8 - 4) /6

→ (4/6)

→ (2/3) (Ans).

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