Question

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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Answer 1

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.

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

$=\dfrac{34}{24}$

$=\dfrac{17}{12}$

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

Answer 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 $1\frac{5}{12}$