Question

(-2 1/3-7 1/7)+(7 3/1+(-10 2/3))​

Answer 1

(-2 1/3-7 1/7)+(7 3/1+(-10 2/3))= (-71/7)

Answer 2

To add the given mixed numbers, you'll want to follow these steps:

Step 1: Add the whole numbers together. Step 2: Add the fractions separately. Step 3: Combine the whole number and fraction parts.

Let's break it down:

For the first expression: -2 1/3 - 7 1/7

Step 1: Add the whole numbers: -2 + (-7) = -9 Step 2: Add the fractions: 1/3 + 1/7 To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 21 (3 * 7). So, convert both fractions to have a denominator of 21: (1/3) * (7/7) = 7/21 (1/7) * (3/3) = 3/21

Now, add the fractions: 7/21 + 3/21 = 10/21

Step 3: Combine the whole number and fraction parts: -9 10/21

For the second expression: 7 3/1 + (-10 2/3)

Step 1: Add the whole numbers: 7 + (-10) = -3 Step 2: Add the fractions: 3/1 + 2/3 To add fractions, you need a common denominator. In this case, you can use 3 as the common denominator: (3/1) * (3/3) = 9/3 (2/3) * (1/1) = 2/3

Now, add the fractions: 9/3 + 2/3 = 11/3

Step 3: Combine the whole number and fraction parts: -3 11/3

Now, add the results of the two expressions: (-9 10/21) + (-3 11/3)

To add these two mixed numbers, you can first convert them into improper fractions:

-9 10/21 = -9 * 21/21 + 10/21 = -189/21 + 10/21 = (-189 + 10)/21 = -179/21

-3 11/3 = -3 * 3/3 + 11/3 = -9/3 + 11/3 = (-9 + 11)/3 = 2/3

Now, add the improper fractions:

(-179/21) + (2/3)

To add these fractions, you'll need a common denominator, which is 21 * 3 = 63.

(-179/21) * (3/3) = -537/63

(2/3) * (21/21) = 42/63

Now, add the fractions:

(-537/63) + (42/63) = (-537 + 42)/63 = -495/63

Now, simplify the fraction:

-495/63 = -15/3

Finally, simplify further:

-15/3 = -5

So, the result of the expression is -5.