Question

представь число 4 16 дробь 23 в виде дроби выдели целую часть из неправильной дроби 187 дробь 23сократи дроби а)4*27 дробь 54*16 б) 28*9*5 дробь 27*49 в)12*16*19 дробь 38*24*2 г)24xyz дробь 60 axzсократи дроби,а затем приведи их к наименьшему общему знаменателю а)8 дробь 30 и 21 дробь 54 б) 4 дробь 160 и 65 дробь 600 в)14 дробь63 и 18 дробь 48сократи дробь а)10ac+4a2 дробь 20c+8a б)12xy+4 дробь 12xy

Answer 1

4*23+16=108/23- /-обозначает дробь

187/23= 8целых 3/23

а)1/8, б) 20/21в) 2   г) 2y/5a

 

4/15 и 7/18  НОД 90

 

1/40 и 13/120 НОД 120

 

2/9и 3/8 НОД 72

 

а) 10ac+4ac2дробь 20с+8а= вынесем 2а за скобку в скобках останется (5с+2а) в знаменателе вынесем 4 в скобках останется 5с+2а,сократим получим 2а/4=а/2

б) в числители и знаменателе вынесем 4 и сократим получим в числителе 3ху+1 в знаменателе 3ху

 

Answer 2

It looks like you've provided a math problem in Russian. Let's break it down step by step and solve each part of the question.

Представь число 4 16/23 в виде дроби, выдели целую часть из неправильной дроби 187 23/23

To represent the number 4 16/23 as an improper fraction, we can multiply the whole number (4) by the denominator of the fraction (23) and add the numerator (16). This will give us the numerator of the improper fraction.

4 * 23 + 16 = 92 + 16 = 108

So, the improper fraction is 108/23.

Сократи дроби

a) 4*27/54*16

To simplify the fraction 4*27/54*16: 4*27 = 108 54*16 = 864 So, the simplified fraction is 108/864, which can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 108. This gives us 1/8.

б) 28*9*5/27*49

To simplify the fraction 28*9*5/27*49: 28*9*5 = 1260 27*49 = 1323 So, the simplified fraction is 1260/1323, which can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 21. This gives us 60/63, which simplifies to 20/21.

в) 12*16*19/38*24*2

To simplify the fraction 12*16*19/38*24*2: 12*16*19 = 3648 38*24*2 = 1824 So, the simplified fraction is 3648/1824, which can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1824. This gives us 2.

г) 24xyz/60+axz

It seems there might be a typo in the denominator of this fraction. Could you please clarify the correct denominator for this fraction?

Приведи дроби к наименьшему общему знаменателю

а) 8/30 and 21/54

To find the least common multiple (LCM) of 30 and 54, we can calculate: LCM(30, 54) = 2 * 3 * 3 * 5 * 3 = 270 Now we can convert the fractions to have a common denominator of 270: 8/30 = 72/270 21/54 = 135/270

So, the fractions 8/30 and 21/54 when converted to the least common denominator are 72/270 and 135/270 respectively.

б) 4/160 and 65/600

To find the least common multiple (LCM) of 160 and 600, we can calculate: LCM(160, 600) = 2^5 * 3 * 5^2 = 2400 Now we can convert the fractions to have a common denominator of 2400: 4/160 = 60/2400 65/600 = 260/2400

So, the fractions 4/160 and 65/600 when converted to the least common denominator are 60/2400 and 260/2400 respectively.

в) 14/63 and 18/48

To find the least common multiple (LCM) of 63 and 48, we can calculate: LCM(63, 48) = 2^4 * 3^2 * 7 = 1008 Now we can convert the fractions to have a common denominator of 1008: 14/63 = 224/1008 18/48 = 378/1008

So, the fractions 14/63 and 18/48 when converted to the least common denominator are 224/1008 and 378/1008 respectively.

Сократи дроби

а) 10ac+4a^2/20c+8a

To simplify the fraction (10ac+4a^2)/(20c+8a): We can factor out 2a from the numerator and 4 from the denominator: (2a(5c+2a))/(4(5c+2a)) Now we can cancel out the common factor (5c+2a) from the numerator and the denominator: 2a/4 Which simplifies to a/2.

б) 12xy+4/12xy

To simplify the fraction