Question

3целых 5/6 - 4целых 3/8 = ? 3целых 5/7 + m = 2целых 8/21

Answer 1

1) 3 целых 5/6 - 4 целых 3/8 = x
3 целых 20/24 - 4 целых 9/24 = x
- 1 целая 11/24 = x
2) 5/7 + m = 2 целых 8/21
15/21 + m = 2 целых 8/21
m = 2 целых 8/21 - 15/21
m = 1 целая 29/21 - 15/21
m = 1 целая 14/21
m = 1 целая 2/3

Answer 2

To solve the first equation, let's subtract the two mixed numbers:

3 5/6 - 4 3/8

To subtract mixed numbers, we need to convert them into improper fractions.

3 5/6 is equivalent to (6 * 3 + 5) / 6 = 23/6 4 3/8 is equivalent to (8 * 4 + 3) / 8 = 35/8

Now, we can subtract the fractions:

23/6 - 35/8

To subtract fractions, we need to have a common denominator. The least common multiple of 6 and 8 is 24. So, let's rewrite the fractions with a common denominator of 24:

(23/6) * (4/4) = 92/24 (35/8) * (3/3) = 105/24

Now we can subtract:

92/24 - 105/24 = (92 - 105)/24 = -13/24

Therefore, 3 5/6 - 4 3/8 is equal to -13/24.

Moving on to the second equation:

3 5/7 + m = 2 8/21

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

3 5/7 is equivalent to (7 * 3 + 5) / 7 = 26/7 2 8/21 is equivalent to (21 * 2 + 8) / 21 = 50/21

Now we can solve for m. Subtracting 26/7 from both sides of the equation:

m = 50/21 - 26/7

To subtract fractions, we need a common denominator. The least common multiple of 7 and 21 is 21. Let's rewrite the fractions with a common denominator:

(50/21) * (1/1) = 50/21 (26/7) * (3/3) = 78/21

Now we can subtract:

50/21 - 78/21 = (50 - 78)/21 = -28/21

Therefore, m is equal to -28/21 or simply -4/3.