Question

-3 1/2-(5 3/4+2 7/20);​

Answer 1

На фото все расписано

Answer 2

To solve the expression -3 1/2 - (5 3/4 + 2 7/20), we need to simplify the addition and subtraction of mixed numbers. Here's how we can proceed:

First, let's convert the mixed numbers into improper fractions:

-3 1/2 = -7/2 5 3/4 = 23/4 2 7/20 = 47/20

Now, let's simplify the expression:

-7/2 - (23/4 + 47/20)

Next, let's find a common denominator for the fractions inside the parentheses:

The least common multiple (LCM) of 4 and 20 is 20. So, we need to convert 23/4 into an equivalent fraction with a denominator of 20:

23/4 = (23/4) * (5/5) = 115/20

Now, we can rewrite the expression:

-7/2 - (115/20 + 47/20)

Now that the denominators are the same, we can combine the fractions inside the parentheses:

-7/2 - (115/20 + 47/20) = -7/2 - 162/20

To subtract the fractions, we need a common denominator:

The least common multiple (LCM) of 2 and 20 is 20. So, we need to convert -7/2 into an equivalent fraction with a denominator of 20:

-7/2 = (-7/2) * (10/10) = -35/20

Now, we can rewrite the expression:

-35/20 - 162/20

Subtracting the fractions, we get:

-197/20

Therefore, the simplified value of -3 1/2 - (5 3/4 + 2 7/20) is -197/20.