Question

Solve
[2/3+{1/5+(2/6+3/5)}]​

Answer 1

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Answer 2

➤ Answer :-

${\tt \longrightarrow \bigg[\dfrac{2}{3} + \bigg\{\dfrac{1}{5} + \bigg(\dfrac{2}{6} + \dfrac{3}{5} \bigg) \bigg\} \bigg]}$

First, we should find the value of the small bracket.............

${\tt \longrightarrow \dfrac{2}{6} + \dfrac{3}{5}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 6 and 5........

LCM of 6 and 5 is 30.

${\tt \longrightarrow \dfrac{2 \times 5}{6 \times 5} + \dfrac{3 \times 6}{5 \times 6}}$

${\tt \longrightarrow \dfrac{10}{30} + \dfrac{18}{30} = \dfrac{10 + 18}{30}}$

${\tt \longrightarrow \dfrac{28}{30}}$

Now, we should find the value of the second bracket.............

${\tt \longrightarrow \dfrac{1}{5} + \dfrac{28}{30}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 5 and 30........

LCM of 5 and 30 is 30.

${\tt \longrightarrow \dfrac{1 \times 6}{5 \times 6} + \dfrac{28}{30}}$

${\tt \longrightarrow \dfrac{6}{30} + \dfrac{28}{30} = \dfrac{6 + 28}{30}}$

${\tt \longrightarrow \dfrac{34}{30}}$

Now, we should find the value of the big bracket...............

${\tt \longrightarrow \dfrac{2}{3} + \dfrac{34}{30}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 3 and 30...........

LCM of 3 and 30 is 30.

${\tt \longrightarrow \dfrac{2 \times 10}{3 \times 10} + \dfrac{34}{30}}$

${\tt \longrightarrow \dfrac{30}{30} + \dfrac{34}{30} = \dfrac{30 + 34}{30}}$

${\tt \longrightarrow \dfrac{64}{30} = \boxed{\tt 2 \dfrac{4}{30}}}$

$\Huge\therefore$ The answer is ${\tt 2 \dfrac{4}{30}}$.

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More to know....................

• BODMAS is a rule which is applied in mathematics. It has some regulations also. We should always solve the small bracket first and the big next. The division should be done first and subtraction at last.

In BODMAS :-

• B denotes Brackets

• O denotes OF (multiplication)

• D denotes Division

• M denotes Multiplication

• A denotes Addition

• S denotes Subtraction