Question

1)-2\21+5\12 2)-1 4\15-2 1\10

Answer 1

Пошаговое объяснение:

-2/21+5/12=9/28

-1.4/15-2.1/10=-3.11/30

Answer 2

To simplify the given expressions, let's perform the operations step by step:

1. -2/21 + 5/12: To add these two fractions, we need a common denominator, which is the least common multiple (LCM) of 21 and 12, which is 84.

-2/21 = (2 * -1)/21 = -2/21 5/12 = 5/12

Now, we convert both fractions to have a denominator of 84:

-2/21 = (-2/21) * (4/4) = -8/84 5/12 = (5/12) * (7/7) = 35/84

Now we can add the fractions:

-8/84 + 35/84 = (35 - 8) / 84 = 27/84

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

27/84 = (27 ÷ 3) / (84 ÷ 3) = 9/28

So, the simplified result of the expression -2/21 + 5/12 is 9/28.

2. -1 4/15 - 2 1/10: To subtract these two mixed numbers, we need to perform the subtraction of the whole numbers and the fractions separately.

-1 4/15 = -1 - 4/15 2 1/10 = 2 + 1/10

Now, let's convert both fractions to have a common denominator, which is the LCM of 15 and 10, which is 30.

-1 - 4/15 = (-1 * 15 - 4) / 15 = (-15 - 4) / 15 = -19/15 2 + 1/10 = (2 * 10 + 1) / 10 = (20 + 1) / 10 = 21/10

Now we can perform the subtraction:

-19/15 - 21/10 To subtract these fractions, we need a common denominator, which is the LCM of 15 and 10, which is 30.

-19/15 = (-19/15) * (2/2) = -38/30 21/10 = (21/10) * (3/3) = 63/30

Now we can subtract the fractions:

-38/30 - 63/30 = (63 - 38) / 30 = 25/30

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5:

25/30 = (25 ÷ 5) / (30 ÷ 5) = 5/6

So, the simplified result of the expression -1 4/15 - 2 1/10 is 5/6.