Question

7 5/6 - 3 2/3 =8 5/12 - 6 7/20​

Answer 1

Ответ:

$7 \frac{5}{6} - 3 \frac{2}{3} = \frac{47}{6} - \frac{11}{3} = \frac{47 - 22}{6} = \frac{25}{6} = 4 \frac{1}{6}$

$8 \frac{5}{12} - 6 \frac{7}{20} = \frac{101}{12} - \frac{127}{20} = \frac{505 - 381}{20} = \frac{124}{20} = 6 \frac{4}{20}$

Пошаговое объяснение:

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Answer 2

To solve the subtraction problem:

First, let's convert the mixed numbers into improper fractions:

7 5/6 = (6 * 7 + 5) / 6 = 47/6 3 2/3 = (3 * 3 + 2) / 3 = 11/3

Now, let's subtract these fractions:

47/6 - 11/3

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 6 and 3 is 6. We can convert the fractions to have a denominator of 6:

(47/6) * (1/1) = 47/6 (11/3) * (2/2) = 22/6

Now, we can subtract the fractions:

47/6 - 22/6 = (47 - 22) / 6 = 25/6

Next, let's convert the mixed numbers into improper fractions for the second part of the problem:

8 5/12 = (12 * 8 + 5) / 12 = 101/12 6 7/20 = (20 * 6 + 7) / 20 = 127/20

Now, let's subtract these fractions:

101/12 - 127/20

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 12 and 20 is 60. We can convert the fractions to have a denominator of 60:

(101/12) * (5/5) = 505/60 (127/20) * (3/3) = 381/60

Now, we can subtract the fractions:

505/60 - 381/60 = (505 - 381) / 60 = 124/60 = 31/15

Therefore, the solution to the subtraction problem is:

25/6 - 31/15 = 31/15 - 25/6 = 6/15 = 2/5