Question

1)3/14+(-11/21)2) 5 3/4+(-5 5/6)​

Answer 1

Ответ:

1)-13/41

2)-1/12

Пошаговое объяснение:

1)3/14-11/21

3*3/14*3-11*2/21*2

-13/42

2)23/4-35/6

23*3/4*3-35*2-6*2

Answer 2

1. To add the fractions 3/14 and -11/21, you need to find a common denominator. The least common multiple (LCM) of 14 and 21 is 42.

Multiply the numerator and denominator of the first fraction (3/14) by 3 to get an equivalent fraction with a denominator of 42:

(3/14) * (3/3) = 9/42

Multiply the numerator and denominator of the second fraction (-11/21) by 2 to get an equivalent fraction with a denominator of 42:

(-11/21) * (2/2) = -22/42

Now, you can add the fractions:

9/42 + (-22/42) = (9 - 22)/42 = -13/42

Therefore, 3/14 + (-11/21) equals -13/42.

2. To add the mixed numbers 5 3/4 and -5 5/6, you can convert them to improper fractions and then add them.

First, convert 5 3/4 to an improper fraction:

5 3/4 = (4 * 5 + 3)/4 = 23/4

Next, convert -5 5/6 to an improper fraction:

-5 5/6 = -(6 * 5 + 5)/6 = -35/6

Now, you can add the fractions:

23/4 + (-35/6)

To add fractions with different denominators, you need to find a common denominator. The common denominator for 4 and 6 is 12.

Multiply the numerator and denominator of the first fraction (23/4) by 3 to get an equivalent fraction with a denominator of 12:

(23/4) * (3/3) = 69/12

Multiply the numerator and denominator of the second fraction (-35/6) by 2 to get an equivalent fraction with a denominator of 12:

(-35/6) * (2/2) = -70/12

Now, you can add the fractions:

69/12 + (-70/12) = (69 - 70)/12 = -1/12

Therefore, 5 3/4 + (-5 5/6) equals -1/12.