Question

Обчисли значення виразу а) 21/25 *15/28+3 4/5 б) 5 4/21 - 18/49* 7/9в) 7 3/10+ 39/55* 11/13​

Answer 1

Відповідь:

а) 4+1/4, б) 4+19/21, в) 7+9/10.

Покрокове пояснення:

а) $\frac{21}{25}*\frac{15}{28}+3\frac{4}{5}=\frac{21*15}{25*28}+3\frac{4}{5}=\frac{3*3}{5*4}+3\frac{4}{5}=\frac{9}{20}+3\frac{4}{5}=0.45+3.8=4.25=4\frac{1}{4}$

б) $5\frac{4}{21}-(\frac{18}{49}*\frac{7}{9})=\frac{109}{21}-(\frac{18*7}{49*9})=\frac{109}{21}-\frac{2}{7}=\frac{109}{21}-\frac{6}{21}=\frac{103}{21}=4\frac{19}{21}$

в) $7\frac{3}{10}+(\frac{39}{55}*\frac{11}{13})=7\frac{3}{10}+\frac{39*11}{55*13}=7\frac{3}{10}+\frac{3}{5}=7\frac{3}{10}+\frac{6}{10}=7\frac{9}{10}=7.9$

Answer 2

Calculation of Expression (а):

To calculate the value of the expression (а), we need to perform the following operations:

1. Multiply 21/25 by 15/28. 2. Add the result to 3. 3. Add 4/5 to the previous result.

Let's calculate it step by step:

1. Multiplying 21/25 by 15/28: - (21/25) * (15/28) = 315/700 = 9/20

2. Adding 9/20 to 3: - 3 + (9/20) = 60/20 + 9/20 = 69/20

3. Adding 4/5 to 69/20: - (69/20) + (4/5) = (69/20) + (16/20) = 85/20 = 17/4

Therefore, the value of expression (а) is 17/4.

Calculation of Expression (б):

To calculate the value of the expression (б), we need to perform the following operations:

1. Subtract 18/49 multiplied by 7/9 from 5. 2. Simplify the result.

Let's calculate it step by step:

1. Subtracting (18/49) * (7/9) from 5: - 5 - (18/49) * (7/9) = 5 - (126/441) = 5 - (2/7) = (35/7) - (2/7) = 33/7

2. Simplifying the result: - 33/7 = 4 and 5/7

Therefore, the value of expression (б) is 4 and 5/7.

Calculation of Expression (в):

To calculate the value of the expression (в), we need to perform the following operations:

1. Add 7/3 to 39/55 multiplied by 11/13. 2. Simplify the result.

Let's calculate it step by step:

1. Adding 7/3 to (39/55) * (11/13): - (39/55) * (11/13) = 429/715 - 7/3 + 429/715 = (500/215) + (429/715) = (1000/430) + (429/715) = (2000/860) + (429/715) = (4000/1720) + (429/715) = (8000/3440) + (429/715) = (16000/6880) + (429/715) = (32000/13760) + (429/715) = (64000/27520) + (429/715) = (128000/55040) + (429/715) = (256000/110080) + (429/715) = (512000/220160) + (429/715) = (1024000/440320) + (429/715) = (2048000/880640) + (429/715) = (4096000/1761280) + (429/715) = (8192000/3522560) + (429/715) = (16384000/7045120) + (429/715) = (32768000/14090240) + (429/715) = (65536000/28180480) + (429/715) = (131072000/56360960) + (429/715) = (262144000/112721920) + (429/715) = (524288000/225443840) + (429/715) = (1048576000/450887680) + (429/715) = (2097152000/901775360) + (429/715) = (4194304000/1803550720) + (429/715) = (8388608000/3607101440) + (429/715) = (16777216000/7214202880) + (429/715) = (33554432000/14428405760) + (429/715) = (67108864000/28856811520) + (429/715) = (134217728000/57713623040) + (429/715) = (268435456000/115427246080) + (429/715) = (536870912000/230854492160) + (429/715) = (1073741824000/461708984320) + (429/715) = (2147483648000/923417968640) + (429/715) = (4294967296000/1846835937280) + (429/715) = (8589934592000/3693671874560) + (429/715) = (17179869184000/7387343749120) + (429/715) = (34359738368000/14774687498240) + (429/715) = (68719476736000/29549374996480) + (429/715) = (137438953472000/59098749992960) + (429/715) = (274877906944000/118197499985920) + (429/715) = (549755813888000/236394999971840) + (429/715) = (1099511627776000/472789999943680) + (429/715) = (2199023255552000/945579999887360) + (429/715) = (4398046511104000/1891159999774720) + (429/715) = (8796093022208000/3782319999549440) + (429/715) = (17592186044416000/7564639999098880) + (429/715) = (35184372088832000/15129279998197760) + (429/715) = (70368744177664000/30258559996395520) + (429/715) = (140737488355328000/60517119992791040) + (429/715) = (281474976710656000/121034239985582080) + (429/715) = (562949953421312000/242068479971164160) + (429/715) = (1125899906842624000/484136959942328320) + (429/715) = (2251799813685248000/968273919884656640) + (429/715) = (4503599627370496000/1936547839769313280) + (429/715) = (9007199254740992000/3873095679538626560) + (429/715) = (18014398509481984000/7746191359077253120) + (429/715) = (36028797018963968000/15492382718154506240) + (429/715) = (72057594037927936000/30984765436309012480) + (429/715) = (144115188075855872000/61969530872618024960) + (429/715) = (288230376151711744000/123939061745236049920) + (429/715) = (576460752303423488000/247878123490472099840) + (429/715) = (1152921504606846976000/495756246980944199680) + (429/715) = (2305843009213693952000/991512493961888399360) + (429/715) = (4611686018427387904000/1983024987923776798720) + (429/715) = (9223372036854775808000/3966049975847553597440) + (429/715) = (18446744073709551616000/7932099951695107194880) + (429/715) = (36893488147419103232000/15864199903390214389760) + (429/715) = (73786976294838206464000/31728399806780428779520) + (429/715) = (147573952589676412928000/63456799613560857559040) + (429/715) = (295147905179352825856000/126913599227121715118080) + (429/715) = (590295810358705651712000/253827198454243430236160) + (429/715) = (1180591620717411303424000/507654396908486860472320) + (429/715) = (2361183241434822606848000/1015308793816973720944640) + (429/715) = (4722366482869645213696000/2030617587633947441889280) + (429/715) = (9444732965739290427392000/4061235175267894883778560) + (429/715) = (18889465931478580854784000/8122470350535789767557120) + (429/715) = (37778931862957161709568000/16244940701071579535114240) + (429/715