Question

3 2/5-(1 5/7*2 1/4)÷(2 9/14+2 1/2)

Answer 1

Відповідь:

2.65

Покрокове пояснення:

Answer 2

To simplify the given expression, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction). In this case, we have multiplication, division, and subtraction.

1. Start with the multiplication and division inside the parentheses: (1 5/7 * 2 1/4) ÷ (2 9/14 + 2 1/2)

   First, simplify the multiplication: (12/7 * 9/4) ÷ (37/14 + 5/2)

   Multiply the fractions and add the fractions inside the second set of parentheses: (108/28) ÷ (37/14 + 35/14)

   Now, simplify the addition inside the second set of parentheses: (108/28) ÷ (72/14)

   2. Next, simplify the division: (108/28) ÷ (72/14)

   To divide by a fraction, you can multiply by its reciprocal: (108/28) * (14/72)

   3. Now, multiply the fractions: (108/28) * (14/72)

   Simplify the fractions before multiplying: (27/7) * (7/36)

   4. Now, multiply the fractions: (27/7) * (7/36)

   Multiply the numerators and denominators separately: (27 * 7) / (7 * 36)

   5. Simplify further: 189 / 252

   6. Reduce the fraction to its simplest form: 7/9

Now, let's go back to the original expression:

3 2/5 - 7/9

To subtract these mixed numbers, find a common denominator (in this case, 9), and then subtract:

3 2/5 = 15/5 + 2/5 = 17/5

So the expression becomes:

(17/5) - (7/9)

To subtract these fractions, you need a common denominator, which is 45:

(17/5) * (9/9) - (7/9) * (5/5) = (153/45) - (35/45)

Now subtract the fractions:

(153/45) - (35/45) = 118/45

So, the simplified result is 118/45.