Question

What should be added to 8 whole 1/7 to get 14?

Answer 1

Answer :-

Let the number be x.

$\implies\sf \: 8 \ \dfrac{1}{7} \: + \: x \: = \: 14$

$\implies\sf \dfrac{56}{7} \: + \: x \: = \: 14$

$\implies\sf x \: = \: 14 \: - \: \dfrac{56}{7}$

$\implies\sf x \: = \: \dfrac{98 \: - \: 56}{7}$

$\implies\sf x \: = \: \dfrac{42}{7}$

$\implies\sf x \: = \: 6$

Verification :-

$\implies{\sf{\dfrac{56}{7} + 6 = 14}}$

$\implies{\sf{\dfrac{56 + 42}{7} = 14}}$

$\implies{\sf{\dfrac{98}{7} = 14}}$

$\implies{\sf{14 = 14}}$

Hence, Verified !!

$\boxed{\sf So, 6\ should\ be\ added\ \: to\ \: 8\dfrac{1}{7} \ \: to \: get \: 14.}$

Answer 2

Answer:

41/7 or 5 whole 6/7

Step-by-step explanation:

Concept= Fraction Addition

Given= A mixed fraction and the sum of two fractions

To find= The missing fraction

Explanation=

We have been given a mixed fraction as 8 whole 1/7 and the sum of two fractions is 14.

So we suppose the second fraction to be x

The mixed fraction is 8 whole 1/7 which in simpler form will be as (8*7 +1)/7

The given fraction is (56+1)/7= 57/7

Therefore according to the question stated 57/7 + x= 14

On solving the derived equation we get

=> x= 14 - 57/7

=> x= (14*7 - 57)/7

=> x= (98-57)/7

=> x= 41/7

Now the required fraction is 41/7 converting to mixed fraction it will be

(5*7 + 6)/7 which is 5 whole 6/7.

The value to be added should be 41/7 or 5 whole 6/7.

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