Question

(15/98 - 17/28):4 5/21 +(4/40-3/20)*21 3/7

Answer 1

(15/98 - 17/28) : 4 5/21 + (4/40 - 3/20) * 21 3/7 = - 1 5/28
1) 15/98 - 17/28 = 30/196 - 119/196 = - 89/196 
2) 4/40 - 3/20 = 2/20 - 3/20 = - 1/20
3) - 89/196 : 4 5/21 = - 89/196 : 89/21 = - 89/196 * 21/89 = - 21/196 = - 3/28
4) - 1/20 * 21 3/7 = - 1/20 * 150/7 = - 150/140 = - 1 1/14
5) - 3/28 + (- 1 1/14) = - 3/28 - 1 2/28 = - 1 5/28

Answer 2

Let's break down the expression step by step:

1. Start with the first part: (15/98 - 17/28) / 4

   To subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator for 98 and 28 is 196.

   (15/98 - 17/28) = (15/98 * 14/14 - 17/28 * 7/7) = (210/1372 - 119/1372)

   Now, subtract the fractions:

   (210/1372 - 119/1372) = (210 - 119) / 1372 = 91/1372

   Now, divide by 4:

   (91/1372) / 4 = (91/1372) * (1/4) = 91/5488 = 13/784

2. Move on to the second part: 5/21

3. Now, focus on the third part: (4/40 - 3/20) * 21 3/7

   First, simplify the fractions:

   (4/40 - 3/20) = (1/10 - 3/20) = (2/20 - 3/20) = -1/20

   Now, multiply by 21 3/7:

   (-1/20) * 21 3/7 = (-1/20) * (150/7) = -7.5/20 = -15/40 = -3/8

Now, add the results of the three parts together:

(13/784) + (5/21) + (-3/8)

To add fractions, you need a common denominator. In this case, the common denominator for 784, 21, and 8 is 784. So, convert all fractions to have a denominator of 784:

(13/784) + (5/21 * 37/37) + (-3/8 * 98/98) = (13/784) + (185/784) + (-294/784)

Now, add the fractions:

(13/784) + (185/784) + (-294/784) = (13 + 185 - 294) / 784 = (-96/784)

Finally, simplify the fraction:

(-96/784) = (-12/98) = (-6/49)

So, the final result of the expression is -6/49.