Math, asked by freshlysanitarypad15, 2 months ago

1/2+1/3+1/4+1/6 from step By step​

Answers

Answered by MasterDhruva
4

➤ Answer :-

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

First, convert them into like fractions by taking the LCM of the denominators i.e, 2,3,4 and 6.

LCM of 2,3,4 and 6 is 12.

{\tt \longrightarrow \dfrac{1 \times 6}{2 \times 6} + \dfrac{1 \times 4}{3 \times 4} + \dfrac{1 \times 3}{4 \times 3} + \dfrac{1 \times 2}{6 \times 2}}

{\tt \longrightarrow \dfrac{6}{12} + \dfrac{4}{12} + \dfrac{3}{12} + \dfrac{2}{12}}

{\tt \longrightarrow \dfrac{6 + 4 + 3 + 2}{12} = \dfrac{15}{12}}

{\tt \longrightarrow \cancel \dfrac{15}{12} = \dfrac{5}{4} = \boxed{\tt 1 \dfrac{1}{4}}}

\Huge\thereforeThe answer is {\tt 1 \dfrac{1}{4}}.

━━━━━━━━━━━━━━━━━━━━━━━

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.
Answered by dev567836
0

Answer:

answer is 5/4 and in mixed fraction 1 whole 1/4

Step-by-step explanation:

1/2+1/3+1/4+1/6

take LCM that is 12

6+4+3+2 whole divided by 12

15/12

5/4

Similar questions