Question

(y-2/15):1 5/6=2 1/5

Answer 1

У-2/15=2 1/5*1 5/6
У-2/15=11/5*11/6
У-2/15=121/30
У=121/30+2/15=121/30+4/30
У=125/30=4 1/6

Answer 2

$(y - \frac{2}{15} ) \div 1 \frac{5}{6} = 2 \frac{1}{5} \\ (y - \frac{2}{15} ) = 1 \frac{5}{6} \times 2 \frac{1}{5} \\ (y - \frac{2}{15} ) = 5 \frac{5}{30} \\ y = 3 \frac{21}{30} + \frac{2}{15} \\ y = \frac{115}{30} \\ y= 3 \frac{25}{30}$
Ответ: у= 3 25/30.

Answer 3

To solve the expression (y - 2/15) ÷ (1 5/6) = 2 1/5, we can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. 1 5/6 = (6 * 1 + 5) / 6 = 11/6 2 1/5 = (5 * 2 + 1) / 5 = 11/5

Step 2: Rewrite the expression using fractions. (y - 2/15) ÷ (11/6) = 11/5

Step 3: Invert the divisor and multiply. (y - 2/15) × (6/11) = 11/5

Step 4: Simplify the expression. 6(y - 2/15) = (11/5) × 11

Step 5: Distribute and simplify further. 6y - 4/5 = 121/5

Step 6: Multiply both sides by 5 to eliminate the denominators. 30y - 4 = 121

Step 7: Add 4 to both sides. 30y = 125

Step 8: Divide both sides by 30. y = 125/30

Step 9: Simplify the fraction, if possible. y = 25/6

Therefore, the solution to the expression is y = 25/6.