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

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


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


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


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