Question

Add the following
[4/5+{6/7+(3/5+2/7)}]​

Answer 1

Hope you will get this answer

Answer 2

➤ Answer :-

${\tt \longrightarrow \bigg[\dfrac{4}{5} + \bigg\{\dfrac{6}{7} + \bigg(\dfrac{3}{5} + \dfrac{2}{7} \bigg ) \bigg \} \bigg]}$

First, we should solve the small bracket..............

${\tt \longrightarrow \dfrac{3}{5} + \dfrac{2}{7}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 5 and 7.............

LCM of 5 and 7 is 35.

${\tt \longrightarrow \dfrac{3 \times 7}{5 \times 7} + \dfrac{2 \times 5}{7 \times 5}}$

${\tt \longrightarrow \dfrac{21}{35} + \dfrac{10}{35} = \dfrac{21 + 10}{35}}$

${\tt \longrightarrow \dfrac{31}{35}}$

Now, we should add the rational number given in second bracket with the obtained result.............

${\tt \longrightarrow \dfrac{6}{7} + \dfrac{31}{35}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 7 and 35............

LCM of 7 and 35 is 35.

${\tt \longrightarrow \dfrac{6 \times 5}{7 \times 5} + \dfrac{31}{35}}$

${\tt \longrightarrow \dfrac{30}{35} + \dfrac{31}{35} = \dfrac{30 + 31}{35}}$

${\tt \longrightarrow \dfrac{61}{35}}$

Now, we should add the rational number given in big bracket with the obtained answer...............

${\tt \longrightarrow \dfrac{4}{5} + \dfrac{61}{35}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 5 and 35.............

LCM of 5 and 35 is 35.

${\tt \longrightarrow \dfrac{4 \times 7}{5 \times 7} + \dfrac{61}{35}}$

${\tt \longrightarrow \dfrac{28}{35} + \dfrac{61}{35} = \dfrac{28 + 61}{35}}$

${\tt \longrightarrow \dfrac{89}{35} = \boxed{\tt 2 \dfrac{19}{35}}}$

$\Huge\therefore$ The answer is ${\tt 2 \dfrac{19}{35}}$.

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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