Question

Выполните сложение 3 161/175+(53 13/25+18 34/35);9 21/25+(350 4/15+18 64/75); 78 37/48+(39 23/24+14 15/16);304 59/80+(99 21/40+14 127/160)

Answer 1

$3 \frac{161}{175} + ( 53 \frac{13}{25} + 18 \frac{34}{35} ) =76 \frac{72}{175} \\ \\ 1) 53 \frac{13}{25} + 18 \frac{34}{35} = 53 \frac{91}{175} + 18 \frac{170}{175} = (53+18) + \frac{91+170}{175} = \\ = 71 + \frac{1 * 175 + 86}{175} =71 + 1 \frac{86}{175} = 72 \frac{86}{175} \\ \\ 2)3 \frac{161}{175} + 72 \frac{86}{175} = (3+72) + \frac{161+86}{175} = 75 + 1 \frac{72}{175} = 76 \frac{72}{175}$


$9 \frac{21}{25} +(350 \frac{4}{15} +18 \frac{64}{75} )= 378 \frac{24}{25} \\ \\ 1) 350 \frac{4}{15} +18 \frac{64}{75} = 350 \frac{20}{75} +18 \frac{64}{75} = 368 +1 \frac{9}{75} = 369 \frac{9}{75} = 369 \frac{3}{25} \\ \\ 2) 9 \frac{21}{25} + 369 \frac{3}{25} = 378 \frac{24}{25}$


$78 \frac{37}{48} + (39 \frac{23}{24} + 14 \frac{15}{16} ) = 133 \frac{2}{3} \\ \\ 1)39 \frac{23}{24} + 14 \frac{15}{16}=39 \frac{46}{48} + 14 \frac{45}{48}=53+1 \frac{43}{48} = 54 \frac{43}{48} \\ \\ 2) 78 \frac{37}{48} + 54 \frac{43}{48} = (78+54) + \frac{37+43}{48} =132+ \frac{80}{48} = 132 + \frac{5}{3} = \\ = 132+ 1 \frac{2}{3} =133 \frac{2}{3}$


$304 \frac{59}{80} + (99 \frac{21}{40} +14 \frac{127}{160} ) = 419 \frac{21}{80} \\ \\ 1) 99 \frac{21}{40} +14 \frac{127}{160}= 99 \frac{84}{160} +14 \frac{127}{160} =113+1 \frac{84}{160} = 114 \frac{84}{160} =114 \frac{21}{40} \\ \\ 2) 304 \frac{59}{80} +114 \frac{21}{40} = 304 \frac{59}{80} +114 \frac{42}{80}=(304+114) + \frac{59+42}{80} = \\ = 418 + 1 \frac{21}{80} =419 \frac{21}{80}$