Math, asked by yonyfaze, 9 months ago

Work out the sum of
1/4 , 4/8 and 2/3
.
Give your answer as a mixed number in its simplest form.

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Answers

Answered by Swarup1998
7

The sum of \dfrac{1}{4}, \dfrac{4}{8} and \dfrac{2}{3} is 1\dfrac{5}{12}.

Step-by-step explanation:

The sum \dfrac{1}{4}, \dfrac{4}{8} and \dfrac{2}{3}

=\dfrac{1}{4}+\dfrac{4}{8}+\dfrac{2}{3}

  • We find the LCM of the denominators of the given fractions first.

  • Here, 4=2\times 2, 8=2\times 2\times 2 and 3=3

  • So, LCM of 4, 8 and 3 is 2\times 2\times 2\times 3=24

=\dfrac{1\times 6+4\times 3+2\times 8}{24}

  • We see that 4 is 6 times in 24 since 4\times 6=24.

  • Do the same for the rest.

=\dfrac{6+12+16}{24}

=\dfrac{34}{24}

=\dfrac{17}{12}

=\bold{1\dfrac{5}{12}}

Answered by Devkumarr
2

Answer:

The sum of Fraction is 17/12

Mixed fraction is 1\frac{5}{12}

Step-by-step explanation:

  • In context to the given question, we have to find the sum of the fraction in mixed form.

Solution:

The sum of 1/4 ,4/8 and 2/3 is

⇒ 1/4 + 4/8 +2/3

⇒ The LCM of 4,8,3 is 24

By making the denominator 24 we get,

⇒ (1x6)/24 + (4x3)/24 + (2x8)/24

⇒ (6+12+16)/24

we get,

⇒ 34/24

⇒ 17/12

The sum of Fraction is 17/12

Mixed fraction of this fraction,

⇒ 17/12 =  1\frac{5}{12}

Therefore, Mixed fraction is 1\frac{5}{12}

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