Question

18 5/12-7/12•1 19/21-17/72•2/3=

Answer 1

Ответ:

18 5/12 7/12119/21 - 17/722/3 = 4/27 1) 7/12 * 119/21 = 7/12 * 40/21 = 10/9=11/9, 2) 17/72*2/3 = 17/108, . 3)18 5/12-11/9-17/108 18 45/108 - 1 12/108-17/108 16/108 4/27

Answer 2

Let's break down this expression step by step:

1. Start with the first part: 18 5/12 - 7/12.

To subtract these fractions, you need a common denominator, which in this case is 12.

18 5/12 can be rewritten as an improper fraction: 18 5/12 = (12 * 18 + 5)/12 = (216 + 5)/12 = 221/12

Now, you can subtract the fractions: (221/12) - (7/12) = (221 - 7)/12 = 214/12

Now, simplify the fraction: 214/12 = 107/6

So, the first part simplifies to 107/6.

2. Move on to the second part: 1 19/21 - 17/72.

Again, you need a common denominator, which is the least common multiple of 21 and 72, which is 504.

1 19/21 can be rewritten as an improper fraction: 1 19/21 = (21 * 1 + 19)/21 = (21 + 19)/21 = 40/21

Now, you can subtract the fractions: (40/21) - (17/72)

To find a common denominator of 21 and 72, you can multiply 21 by 4 to get 84. Now, you can rewrite 17/72 with a denominator of 84: (40/21) - (17/72) = (40/21) - (17/84)

Now, you can subtract the fractions with a common denominator of 84: (40/21) - (17/84) = (160/84) - (17/84) = (160 - 17)/84 = 143/84

Now, simplify the fraction: 143/84 = 13/12

So, the second part simplifies to 13/12.

3. Finally, multiply the results from the first and second parts:

(107/6) * (13/12)

To multiply fractions, multiply the numerators together and the denominators together: (107 * 13) / (6 * 12) = 1391 / 72

So, the final result is 1391/72.