Question

(5 1/15-4 2/3)*(13-9 1/4)

Answer 1

Ответ:

Пошаговое объяснение:

1. 5 1/15 - 4 2/3 = 6/15 = 3/5

2. 13 - 9 1/4 = 3 3/4

3. 3/5*3/4 = 9/20

Answer 2

To calculate the expression (5 1/15 - 4 2/3) * (13 - 9 1/4), follow these steps:

Step 1: Convert mixed numbers to improper fractions. 5 1/15 = 76/15 4 2/3 = 14/3 9 1/4 = 37/4

Step 2: Perform the operations within the parentheses. (76/15 - 14/3) * (13 - 37/4)

Step 3: Continue simplifying within the parentheses. To subtract fractions, they need a common denominator. The common denominator for 15 and 3 is 15. So, we need to find equivalent fractions with a denominator of 15.

(76/15 - 70/15) * (13 - 37/4)

Now, subtract the fractions: (6/15) * (13 - 37/4)

Step 4: Simplify further. 6/15 reduces to 2/5. Now, deal with the expression in the second set of parentheses.

(2/5) * (13 - 37/4)

To subtract mixed numbers, convert 13 to an improper fraction with a denominator of 4: 13 = 52/4

Now, the expression becomes: (2/5) * (52/4 - 37/4)

Step 5: Subtract the fractions inside the second set of parentheses: (2/5) * (15/4)

Step 6: Multiply the fractions. To multiply fractions, simply multiply the numerators and denominators: (2/5) * (15/4) = (2 * 15) / (5 * 4) = 30/20

Step 7: Simplify the final fraction. 30/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10: (30/10) / (20/10) = 3/2

So, the final result is 3/2 or 1.5.