Question

(5/7y-1/4)×3/16=3/16​

Answer 1

(5/7у-1/4)*3/16=3/16

5/7у-1/4=3/16 : 3/16

5/7у - 0,25 = 1

5/7у = 1,25

у = 1,25 : 5 * 7

у = 1,75

Answer 2

To solve the equation (5/7y - 1/4) × 3/16 = 3/16, you can follow these steps:

Step 1: Start by multiplying both sides of the equation by 16 to get rid of the fractions: (5/7y - 1/4) × 3/16 × 16 = 3/16 × 16

This simplifies to: 3(5/7y - 1/4) = 3

Step 2: Distribute the 3 on the left side of the equation: (3) × (5/7y) - (3) × (1/4) = 3

Step 3: Multiply 3 by 5/7y and 1/4: (15/7y) - (3/4) = 3

Step 4: Now, isolate the variable y. To do this, add 3/4 to both sides of the equation: (15/7y) - (3/4) + (3/4) = 3 + (3/4)

This simplifies to: 15/7y = 3 + 3/4

Step 5: Add 3 and 3/4: 15/7y = 12/4 + 3/4 = 15/4

Step 6: To isolate y, multiply both sides of the equation by 7/15: (7/15) × (15/7y) = (7/15) × (15/4)

This simplifies to: y = (7/15) × (15/4)

Step 7: Cancel out the common factors of 15: y = 1/4

So, the solution to the equation is y = 1/4.