Question

the sum of two fractions is 14 5/12 and one of them is 6 3/4 find the other​

Answer 1

Answer:

$\frac{23}{3} = 7 \frac{2}{3}$

Step-by-step explanation:

sum of two fraction

$= 14 \frac{5}{12}$

one of the fraction =

$6 \frac{3}{4}$

To find the other fraction

Solution -

Let us consider other fraction as x

so,

$x + 6 \frac{3}{4} = 14 \frac{5}{12} \\ \\ = > x + \frac{(6 \times 4) + 3}{4} = \frac{(14 \times 12) + 5}{12} \\ \\ = > x + \frac{24 + 3}{4} = \frac{168 + 5}{12} \\ \\ = > x + \frac{27}{4} = \frac{173}{12} \\ \\ = > x = \frac{173}{12} - \frac{27}{4} \\ \\ = > x = \frac{173 - (27 \times 3)}{12} \\ \\ = > x = \frac{173 - 81}{12} \\ \\ = > x = \frac{92}{12} = \frac{46}{6} = \frac{23}{3}$

Hence the number = 23/3 or 7 . 2/3

hope it helps.

Answer 2

Step-by-step explanation:

let the other number be=x

x. + 63/4 = 145/2

x = 145/2 - 63 /4

x= 290/4 -63/4

x = 227/4