1) -14/15 × 25/28 + −36/37-36/37−36/37 ÷ −6/37-6/37−6/37 = −14<em>25-14<em>25−14<em>25/15</em>2815</em>2815</em>28 + −36-36−36/37 ÷ −6-6−6/37= -10/21 + 6= -10/21 + 126/21= 126−10126 - 10126−10/21= 116/21
2) 26/27 × −9/65-9/65−9/65 + −100/101-100/101−100/101 ÷ 50/303= −26<em>9-26<em>9−26<em>9/27</em>6527</em>6527</em>65 + −100-100−100/101 ÷ 50/303= -234/1755 + −100-100−100/101 ÷ 303/50= -234/1755 + −100-100−100/101 50/303= -234/1755 + −5000-5000−5000/30300= -234/1755 + −5000-5000−5000/30300 3159/3159= -234/1755 + −15795000-15795000−15795000/94665500= -234/1755 + −15795000-15795000−15795000/94665500= −234<em>94665500−15795000</em>1755-234<em>94665500 - 15795000</em>1755−234<em>94665500−15795000</em>1755/1755∗946655001755*946655001755∗94665500 = −2212571400−27774750000-2212571400 - 27774750000−2212571400−27774750000/330267827003302678270033026782700 = -30019321400/33026782700= -150096607/1651339135
3) -30/31 × 15/124 + −16/21-16/21−16/21 × −7/8-7/8−7/8 = −30<em>15-30<em>15−30<em>15/31</em>12431</em>12431</em>124 + −16-16−16/21 7/8= -450/3836 + −16</em>7-16</em>7−16</em>7/21<em>821<em>821<em>8 = -450/3836 + −112-112−112/168= -450/3836 + −112-112−112/168 5743/5743= -450/3836 + −6424-6424−6424/101472= -450/3836 + −6424-6424−6424/101472= −450<em>101472−6424</em>3836-450<em>101472 - 6424</em>3836−450<em>101472−6424</em>3836/3836∗1014723836*1014723836∗101472 = −45787200−24619824-45787200 - 24619824−45787200−24619824/389060352389060352389060352 = -70407024/389060352= -4400439/24253772
4) −51/58-51/58−51/58 ÷ −17/25-17/25−17/25 - 25/27 × −81/125-81/125−81/125 = −51/58-51/58−51/58 25/−1725/-1725/−17 - 25/27 × −81/125-81/125−81/125 = 51</em>2551</em>2551</em>25/58<em>1758<em>1758<em>17 - 25/27 × −81/125-81/125−81/125 = 1275/986 - 25/27 × −81/125-81/125−81/125 = 1275/986 - 25</em>8125</em>8125</em>81/27<em>12527<em>12527<em>125 = 1275/986 - 2025/3375= 1275/986 - 2025/3375 1188/1188= 1275/986 - 2397900/3981375= 1275/986 - 2397900/3981375= 1275<em>3981375−2397900</em>9861275<em>3981375 - 2397900</em>9861275<em>3981375−2397900</em>986/986∗3981375986*3981375986∗3981375 = 5083921875−23617245083921875 - 23617245083921875−2361724/392217255039221725503922172550 = 5081560151/3922172550
1) -14/15 × 25/28 + −36/37-36/37−36/37 ÷ −6/37-6/37−6/37 = −14<em>25-14<em>25−14<em>25/15</em>2815</em>2815</em>28 + −36-36−36/37 ÷ −6-6−6/37
= -10/21 + 6
= -10/21 + 126/21
= 126−10126 - 10126−10/21
= 116/21
2) 26/27 × −9/65-9/65−9/65 + −100/101-100/101−100/101 ÷ 50/303
= −26<em>9-26<em>9−26<em>9/27</em>6527</em>6527</em>65 + −100-100−100/101 ÷ 50/303
= -234/1755 + −100-100−100/101 ÷ 303/50
= -234/1755 + −100-100−100/101 50/303
= -234/1755 + −5000-5000−5000/30300
= -234/1755 + −5000-5000−5000/30300 3159/3159
= -234/1755 + −15795000-15795000−15795000/94665500
= -234/1755 + −15795000-15795000−15795000/94665500
= −234<em>94665500−15795000</em>1755-234<em>94665500 - 15795000</em>1755−234<em>94665500−15795000</em>1755/1755∗946655001755*946655001755∗94665500 = −2212571400−27774750000-2212571400 - 27774750000−2212571400−27774750000/330267827003302678270033026782700 = -30019321400/33026782700
= -150096607/1651339135
3) -30/31 × 15/124 + −16/21-16/21−16/21 × −7/8-7/8−7/8 = −30<em>15-30<em>15−30<em>15/31</em>12431</em>12431</em>124 + −16-16−16/21 7/8
= -450/3836 + −16</em>7-16</em>7−16</em>7/21<em>821<em>821<em>8 = -450/3836 + −112-112−112/168
= -450/3836 + −112-112−112/168 5743/5743
= -450/3836 + −6424-6424−6424/101472
= -450/3836 + −6424-6424−6424/101472
= −450<em>101472−6424</em>3836-450<em>101472 - 6424</em>3836−450<em>101472−6424</em>3836/3836∗1014723836*1014723836∗101472 = −45787200−24619824-45787200 - 24619824−45787200−24619824/389060352389060352389060352 = -70407024/389060352
= -4400439/24253772
4) −51/58-51/58−51/58 ÷ −17/25-17/25−17/25 - 25/27 × −81/125-81/125−81/125 = −51/58-51/58−51/58 25/−1725/-1725/−17 - 25/27 × −81/125-81/125−81/125 = 51</em>2551</em>2551</em>25/58<em>1758<em>1758<em>17 - 25/27 × −81/125-81/125−81/125 = 1275/986 - 25/27 × −81/125-81/125−81/125 = 1275/986 - 25</em>8125</em>8125</em>81/27<em>12527<em>12527<em>125 = 1275/986 - 2025/3375
= 1275/986 - 2025/3375 1188/1188
= 1275/986 - 2397900/3981375
= 1275/986 - 2397900/3981375
= 1275<em>3981375−2397900</em>9861275<em>3981375 - 2397900</em>9861275<em>3981375−2397900</em>986/986∗3981375986*3981375986∗3981375 = 5083921875−23617245083921875 - 23617245083921875−2361724/392217255039221725503922172550 = 5081560151/3922172550