Question

find the decimal form of 1/2+1/4+1/8​

Answer 1

Answer:

0.875

Step-by-step explanation:

Step 1 => Take the LCM of denominators 2, 4, 8 which is 8

Step 2 => Change the numerators as required

1/2 = 4/8 , 1/4 = 2/8 , 1/8 = 1/8

Step 3

Take the sum of the changed fractions i.e

4/8 +2/8 +1/8 =7/8

Step 4 => Change the common fraction into decimal one

7/8 = 0.875

Answer 2

To find:

The decimal form of $\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}$

Step-by-step explanation:

Method 1. Finding the sum

Here, $\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}$

$=\dfrac{1\times 4+1\times 2+1\times 1}{8}$

• where each of $2,4$ and $8$ is a factor of $8$ and thus their lcm is $8$

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

$=\dfrac{7}{8}$

$=0.875$

Method 2. Find decimal sum

Here, $\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}$

$=0.5+0.25+0.125$

$=0.875$

Final Answer:

The decimal form of $\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}$ is $0.5+0.25+0.125$ and this equals $0.875$.