Question

( 2 7/15 + 1 7/12) * 1 1/9 - 1 7/8

Answer 1

1) 2 7/15 + 1 7/12 = 2 28/60 + 1 35/60 = 3 63/60 = 4 1/20

2) 4 1/20 * 1 1/9 = 81/20 * 10/9 = 9/2 = 4 1/2

3) 4 1/2 - 1 7/8 = 4 4/8 - 1 7/8 = 3 12/8 - 1 7/8 = 2 5/8

ответ: 2 5/8

Answer 2

To solve the expression, we'll follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). First, let's simplify the addition inside the parentheses:

Step 1: Add 2 7/15 and 1 7/12 To add these two mixed fractions, we need to find a common denominator. The common denominator for 15 and 12 is 60.

Converting 7/15 to have a denominator of 60: (7/15) * (4/4) = 28/60

Converting 7/12 to have a denominator of 60: (7/12) * (5/5) = 35/60

Now the expression becomes: (2 + 28/60) + (1 + 35/60)

Step 2: Add the whole numbers and fractions separately: 2 + 1 = 3

Step 3: Add the fractions: 28/60 + 35/60 = 63/60

The expression inside the parentheses becomes: 3 + 63/60

Step 4: Convert the improper fraction 63/60 to a mixed fraction: 63/60 ÷ 60/60 = 1 remainder 3/60

So, 63/60 is equal to 1 3/60, which can be simplified to 1 1/20.

Now, the expression inside the parentheses becomes: 3 + 1 1/20

Step 5: Convert 1 1/20 to an improper fraction: (1 * 20 + 1) / 20 = 21/20

The expression inside the parentheses becomes: 3 + 21/20

Step 6: Now, we can proceed to the rest of the expression:

(3 + 21/20) * 1 1/9 - 1 7/8

Step 7: Convert 1 1/9 to an improper fraction: (1 * 9 + 1) / 9 = 10/9

Now the expression becomes: (3 + 21/20) * 10/9 - 1 7/8

Step 8: Convert 1 7/8 to an improper fraction: (1 * 8 + 7) / 8 = 15/8

Now the expression becomes: (3 + 21/20) * 10/9 - 15/8

Step 9: Perform the multiplication first: (3 + 21/20) * 10/9 = (60/20 + 21/20) * 10/9 = (81/20) * 10/9 = 81/18 = 9/2

Now the expression becomes: 9/2 - 15/8

Step 10: Find a common denominator to subtract the fractions: The common denominator for 2 and 8 is 8.

Converting 9/2 to have a denominator of 8: (9/2) * (4/4) = 36/8

Now the expression becomes: 36/8 - 15/8

Step 11: Subtract the fractions: 36/8 - 15/8 = (36 - 15) / 8 = 21/8

So, the final result of the expression is: 21/8 or 2 5/8