Question

The sum of two fractions is 6 1/6.If one of fractions is 2 1/3.Find the other fraction

Answer 1

Answer:

The sum of two fractions = 61/6

one of them is = 21/3

let, the other fraction = x

So, x + 21/3 = 61/6

x = 61/6 - 21/3

= 57/18

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Answer 2

Sum of two fractions  is = 61/6

One fraction is = 21/3

Let the other fraction be 'x'.

So our equation becomes,

21/3 + x = 61/6

x = 61/6 - 21/3

x =  $\frac{61}{6} -\frac{21}{3}$

x =  $\frac{61 - 21*2}{6}$

x =  $\frac{61 - 42}{6}$

x = other fraction = 19/6

ANSWER= 19/6

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Let us verify -

21/3 + 19/6 = 61/6

$\frac{21}{3} + \frac{19}{6} = \frac{61}{6}$

$\frac{21 * 2 + 19}{6} = \frac{61}{6}$

$\frac{42+19}{6} = \frac{61}{6}$

61/6  = 61/6

LHS = RHS    (Left hand side = Right hand side)

Hence verified......................

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