Question

find the sum of the following 7 1/4 + 8 + 2 1/2​

Answer 1

$7\frac{1}{4} + 8 + 2 \frac{1}{2} \\ \\ add \: whole \: first \: \\ \\ 7 + 8 + 2 = 17 \\ \\ lcm \: of \: denominator \: = 4 \\ \frac{1}{4} \times \frac{1}{1} = \frac{1}{4} \\ \\ \frac{1}{2} \times \frac{2}{2} = \frac{2}{4} \\ \\ add \: them \: also \: \\ \\ \frac{1}{4} + \frac{2}{4} = \frac{3}{4} \\ \\ = 17 \frac{3}{4}\\ make\:improper\:fraction \\ \\ = \frac{71}{4}$

Answer 2

To find the sum, at first we need to change the mixed fraction into improper fraction.

$7 \times \frac{1}{4} \: \: \: + \: \: \: 8 \: \: \: + \: \: \: \: 2 \times \frac{1}{2}$

$\frac{29}{4} + \frac{8}{1} + \frac{5}{2}$

Now , we wanna make the denominators same.

We wanna take L.C.M

L.C.M for 4,1,2 = 4

$\frac{29}{4} \times \frac{1}{1} = \frac{29}{4}$

$\frac{8}{1} \times \frac{4}{4} = \frac{32}{4}$

$\frac{5}{2} \times \frac{2}{2} = \frac{10}{4}$

$\frac{29 + 32 +10}{4}$

$\frac{51}{4}$

$12 \times \frac{3}{4}$

HOPE IT HELPS YOU