Math, asked by soniobra7, 4 months ago

please give answer me fast​

Attachments:

Answers

Answered by MasterDhruva
4

➤ Answer :-

{\tt \longrightarrow \dfrac{4}{1} + 1 \dfrac{5}{6} - 2 \dfrac{3}{8}}

According to the BODMAS rule, first we should add the fractions and then we should subtract the obtained value with the other fraction.........

{\tt \longrightarrow \dfrac{4}{1} + 1 \dfrac{5}{6} = \dfrac{4}{1} + \dfrac{11}{6}}

Convert them into like fractions by taking the LCM of the denominators i.e, 1 and 6..........

LCM of 1 and 6 is 6.

{\tt \longrightarrow \dfrac{4 \times 6}{1 \times 6} + \dfrac{11}{6}}

{\tt \longrightarrow \dfrac{24}{6} + \dfrac{11}{6} = \dfrac{24 + 11}{6}}

{\tt \longrightarrow \dfrac{35}{6} = 5 \dfrac{5}{6}}

Now, we should subtract the fractions with the obtained answer............

{\tt \longrightarrow 5 \dfrac{5}{6} - 2 \dfrac{3}{8} = \dfrac{35}{6} - \dfrac{19}{8}}

Convert them into like fractions by taking the LCM of the denominators i.e, 6 and 8.........

LCM of 6 and 8 is 24.

{\tt \longrightarrow \dfrac{35 \times 4}{6 \times 4} - \dfrac{19 \times 3}{8 \times 3}}

{\tt \longrightarrow \dfrac{140}{24} - \dfrac{57}{24} = \dfrac{140 - 57}{24}}

{\tt \longrightarrow \dfrac{83}{24} = 3 \dfrac{11}{24}}

\Huge\therefore The answer is \tt 3 \dfrac{11}{24}

━━━━━━━━━━━━━━━━━━━━━━━

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

  • While adding or subtracting the fractions, if the given fractions are mixed fractions we should convert them into improper fractions by multiplying the denominator and whole number and then by adding the numerator.
  • While adding or subtracting the fractions, if the given fractions are unlike fractions we should convert them into like fractions by taking the LCM of the denominators.
  • While adding or subtracting the fractions, if the given fractions are like fractions we can solve them easily.
Similar questions