Question

(-3 1/9+5 2/3)-(3 5/8-6 11/12)​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To subtract the given mixed numbers, you can follow these steps:

1. Convert each mixed number into an improper fraction.
2. Subtract the fractions separately.
3. Convert the result back into a mixed number if necessary.

Let's break down the calculation:

First, convert the mixed numbers into improper fractions:

-3 1/9 = -28/9 5 2/3 = 17/3 3 5/8 = 29/8 6 11/12 = 83/12

Now, perform the subtraction:

(-28/9 + 17/3) - (29/8 - 83/12)

To add and subtract fractions, you need to find a common denominator. In this case, the common denominator for 9, 3, 8, and 12 is 72. So, let's rewrite the fractions with a common denominator:

(-224/72 + 408/72) - (261/72 - 498/72)

Now, perform the addition and subtraction:

(-224/72 + 408/72) = 184/72 = 23/9 (261/72 - 498/72) = -237/72 = -79/24

Now, subtract the results:

(23/9) - (-79/24)

To subtract fractions, you need to find a common denominator again. In this case, it's 9 and 24. So, rewrite the fractions with a common denominator:

(23/9) - (-79/24) = (92/36) + (79/36)

Now, add the fractions:

(92/36) + (79/36) = 171/36

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 9:

(171/9) / (36/9) = 19/4

So, the final result is 19/4, which can also be expressed as the mixed number 4 3/4.