Question

1 9/16 * 3 1/5 + 16 2/3 - 9 : 2 2/5

Answer 1

Ответ:

Пошаговое объяснение:

1 9/16*3 1/5=25/16*16/5=5

5+16 2/3=21 2/3

9:2 2/5=9*5/12=15/4=3 3/4

21 2/3-3 3/4=21 8/12-3 9/12=18-1/12=17 11/12

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, and Addition and Subtraction. First, let's convert all the mixed numbers into improper fractions:

1 9/16 = (16 * 1 + 9) / 16 = 25/16 3 1/5 = (5 * 3 + 1) / 5 = 16/5 16 2/3 = (3 * 16 + 2) / 3 = 50/3 9 : 2 2/5 = 9 / (2 + 2/5) = 9 / (10/5 + 2/5) = 9 / (12/5) = 9 * 5/12 = 15/4

Now, the expression becomes:

(25/16) * (16/5) + (50/3) - (15/4)

Next, we perform the multiplication:

(25/16) * (16/5) = (25 * 16) / (16 * 5) = 400/80 = 5

The expression now simplifies to:

5 + (50/3) - (15/4)

Now, let's find a common denominator for the remaining fractions, which is 12:

(5 * 12/12) + (50/3 * 4/4) - (15/4)

Now, it simplifies further to:

(60/12) + (200/12) - (15/4)

Now, combine the fractions:

(60 + 200) / 12 - (15/4) = 260 / 12 - (15/4)

Now, let's subtract the fractions:

260/12 - 15/4

To subtract fractions, we need a common denominator, which is 12:

(260/12) - (45/12) = (260 - 45) / 12 = 215/12

So, the final answer to the expression is 215/12.