Question

$1 \frac{3}{4} \: + 4\frac{5}{7} \: + 7\frac{9}{13} \: + 12\frac{6}{25}$

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Answer 1

$1 \frac{3}{4} \: + 4\frac{5}{7} \: + 7\frac{9}{7} \: + 12\frac{6}{25}$

$1 \frac{3}{4} = (\frac{4 \times 1 + 3 }{4} ) \: = \: \frac{7}{4}$

$4 \frac{5}{7} = (\frac{7 \times 4 + 5}{7} ) \: = \frac{33}{7}$

$7 \frac{9}{7} =( \frac{7 \times 7 + 9}{7} )= \frac{58}{7}$

$12 \frac{6}{25} = (\frac{25 \times 12 + 6}{25} )= \frac{306}{25}$

Now, all are improper fractions convert them into proper fractions, to do that you should do LCM.

Take LCM of 4 ,7, 7, 25

$LCM = 2 \times 2 \times 5 \times 5 \times 7 = 700$

Now, make them into proper fractions.

$\frac{7}{4} \times \frac{175}{175} = \frac{1225}{700}$

$\frac{33}{7 } \times \frac{100}{100} = \frac{3300}{700}$

$\frac{58}{7} \times \frac{100}{100}= \frac{5800}{700}$

$\frac{306}{25} \times \frac{28}{28}= \frac{8568}{700}$

Now, add all the proper fractions

$( \frac{1225 + 3300 + 5800 + 8568}{700} )$

$\frac{18893}{700}$

$26 \frac{693}{700}$

Hope it helps you