Question

Work out the sum of
1/2 ,1/7 and 2/5
Give your answer as a mixed number in its simplest form.

Answer 1

To find:

The sum of $\dfrac{1}{2}$, $\dfrac{1}{7}$ and $\dfrac{2}{5}$

Step-by-step explanation:

Step 1. [ Find the lcm of the denominators of the given fractions. ]

The denominators are $2$, $7$ and $5$.

Here since they are prime numbers, then the LCM

$=2\times 7\times 5$

$=70$

Step 2. [ Divide the LCM by the denominators. ]

Now, $70\div 2=35$,

$\quad 70\div 7=10$ and

$\quad 70\div 5=14$.

Step 3. [ Multiply the numerators by the quotients of Step 2. ]

So, $1\times 35=35$,

$\quad 1\times 10=10$ and

$\quad 2\times 14=28$

Step 4. [ In order to find the sum of the given fractions, we write down the sum of the numbers of Step 3 in the final numerator and LCM in its denominator. ]

Then $\dfrac{35+10+28}{70}$

$\quad =\dfrac{77}{70}$

Step 5. [ Let us simplify the fraction by expressing the numerator and the denominator as factors. ]

So, $\dfrac{77}{70}$

$=\dfrac{7\times 11}{7\times 10}$

$=\dfrac{11}{10}$

Step 6. [ Now we express the Step 5 improper fraction as a mixed fraction. ]

Thus $\dfrac{11}{10}$

$=\dfrac{10+1}{10}$

$=\dfrac{10}{10}+\dfrac{1}{10}$

$=1+\dfrac{1}{10}$

$=1\dfrac{1}{10}$

Conclusion:

Therefore, $\boxed{\dfrac{1}{2}+\dfrac{1}{7}+\dfrac{2}{5}=1\dfrac{1}{10}}$

Read more on Brainly.in

Find the decimal form of the sum:

$\quad\dfrac{1}{2}+\dfrac{1}{2^{2}}+\dfrac{1}{2^{3}}$

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Answer 2

0+7/10 is the correct answer