Question

( 8 2/15-2 1/3)* 2 1/2+5 3/4

Answer 1

(8 2/15-2 1/3)* 2 1/2+5 3/4=20,25

1) (8 2/15)-(2 1/3)=122/15-7/3=122/15-35/15=29/15=5,8

2) 5,8*(2 1/2)=5,8*2,5=14,5

3) 14,5+(5 3/4)=14,5+5,75=20,25

Answer 2

To solve the expression (8 2/15 - 2 1/3) * 2 1/2 + 5 3/4, follow these steps:

Step 1: Simplify the expression within the parentheses. Step 2: Perform the multiplication. Step 3: Perform the addition.

Let's start with Step 1:

Step 1: Simplify the expression within the parentheses To subtract two mixed numbers, convert them into improper fractions and then perform the subtraction.

8 2/15 = (8 * 15 + 2) / 15 = 122/15 2 1/3 = (2 * 3 + 1) / 3 = 7/3

Now, the expression becomes: (122/15 - 7/3)

To subtract these fractions, find a common denominator, which is 15:

(122/15 - 7/3) = (122/15 - 35/15)

Now subtract the numerators:

(122/15 - 35/15) = (122 - 35) / 15 = 87/15

Step 2: Perform the multiplication To multiply a fraction by a mixed number, convert the mixed number into an improper fraction and then perform the multiplication.

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, the expression becomes: (87/15) * (5/2)

Multiply the numerators and denominators:

(87/15) * (5/2) = (87 * 5) / (15 * 2) = 435/30

Step 3: Perform the addition To add a fraction to a mixed number, convert the mixed number into an improper fraction and then perform the addition.

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

Now, the expression becomes: (435/30) + (23/4)

To add these fractions, find a common denominator, which is 30:

(435/30) + (23/4) = (435/30) + (172/30)

Now, add the numerators:

(435/30) + (172/30) = (435 + 172) / 30 = 607/30

So, the final result of the expression is 607/30.