Question

4 4/5÷6 3/4х=9 1/6÷51 9/16

Answer 1

Ответ:

4 4/5÷6 3/4х = 9 1/6÷51 9/16

4 4/5÷6 3/4х = 8/45

6 3/4х = 4 4/5 ÷ 8/45

6 3/4х = 27

х = 4

Answer 2

To solve the expression 4 4/5 ÷ 6 3/4 × 9 1/6 ÷ 51 9/16, we'll follow the order of operations (PEMDAS/BODMAS).

Step 1: Convert mixed numbers to improper fractions. 4 4/5 is equivalent to (4 * 5 + 4) / 5 = 24/5. 6 3/4 is equivalent to (6 * 4 + 3) / 4 = 27/4. 9 1/6 is equivalent to (9 * 6 + 1) / 6 = 55/6.

Now we have the expression: (24/5) ÷ (27/4) × (55/6) ÷ (51 9/16).

Step 2: Simplify each division operation. (24/5) ÷ (27/4) can be rewritten as (24/5) × (4/27) = 96/135.

(55/6) ÷ (51 9/16) can be rewritten as (55/6) × (16/825) = 880/4950.

Now we have the expression: (96/135) × (880/4950).

Step 3: Simplify the multiplication operation. (96/135) × (880/4950) can be simplified by canceling common factors.

96 and 4950 share a common factor of 6. 135 and 880 share a common factor of 5.

After canceling, we have (16/45) × (176/825).

Step 4: Multiply the fractions. To multiply fractions, we multiply the numerators and denominators.

(16/45) × (176/825) = (16 * 176) / (45 * 825) = 2816/37125.

Therefore, the solution to the expression 4 4/5 ÷ 6 3/4 × 9 1/6 ÷ 51 9/16 is 2816/37125.