Question

2 3/4-(1 1/2)+(-3 5/6)​

Answer 1

Ответ:

$-2\dfrac{7}{12}$

Пошаговое объяснение:

$2\dfrac{3}{4} - 1\dfrac{1}{2} -3\dfrac{5}{6} = 2\dfrac{9}{12} - 1\dfrac{6}{12} - 3\dfrac{10}{12} = (2-1-3) + \dfrac{9-6-10}{12} = -2 - \dfrac{7}{12} = -2\dfrac{7}{12}$

Answer 2

To subtract mixed numbers, you'll want to first convert them into improper fractions, then perform the subtraction. Here's how you can do it step by step:

1. Convert each mixed number into an improper fraction:

2 3/4 = (2 * 4 + 3) / 4 = 11/4 1 1/2 = (1 * 2 + 1) / 2 = 3/2 -3 5/6 = -(3 * 6 + 5) / 6 = -23/6

2. Now, you can perform the subtraction:

11/4 - 3/2 - 23/6

To subtract these fractions, you need a common denominator. The common denominator for 4, 2, and 6 is 12. So, you'll need to rewrite each fraction with a denominator of 12:

(11/4) * (3/3) = 33/12 (3/2) * (6/6) = 18/12 -23/6 * (2/2) = -46/12

Now, subtract the fractions:

33/12 - 18/12 - 46/12

Now that they all have the same denominator, you can subtract the numerators:

(33 - 18 - 46) / 12

-31/12

So, the result of the expression 2 3/4 - 1 1/2 - 3 5/6 is -31/12 as an improper fraction. You can also express it as a mixed number, which is approximately -2 7/12.