Question

19/12+77/9-29/6-37/18

Answer 1

Step-by-step explanation:

Given that:

19/12+77/9-29/6-37/18

To find: Solution of given expression

Solution:

First find LCM of 12,9,6 and 18

$12 = 2 \times 2 \times 3 \\ 9 = 3 \times 3 \\ 6 = 2 \times 3 \\ 18 = 2 \times 3 \times 3 \\ LCM(12,9,6,18) = 2 \times 2 \times 3 \times 3 = 36$

$\frac{19}{12} + \frac{77}{9} - \frac{29}{6} - \frac{37}{18} \\ \\ = \frac{19 \times 3 + 77 \times 4 - 29 \times 6 - 37 \times 2}{36} \\ \\ = \frac{57 + 308 - 174 - 74}{36} \\ \\ = \frac{365 - 248}{36} \\ \\ = \frac{117}{36} \\ \\ = \frac{39}{12} \\ \\ = \frac{13}{4}\\\\\ \bold{\frac{19}{12} + \frac{77}{9} - \frac{29}{6} - \frac{37}{18} = \frac{13}{4}}$

Hope it helps you.