Question

(- 5/14) × 21/25- у = 3 3/4​

Answer 1

$(-\frac{5}{14} )*\frac{21}{25} -y=3\frac{3}{4} \\\\(-\frac{1}{2} )*\frac{3}{5} -y=\frac{15}{4} \\\\-\frac{3}{10} -y=\frac{15}{4} \\\\-y=\frac{15(5}{4}+\frac{3(2}{10}\\\\-y=\frac{75+6}{20} \\\\-y=\frac{81}{20} \\\\\y=\frac{81}{20}:(-1)\\\\y=-\frac{81}{20}\\\\y=-4\frac{1}{20} =-4.05$

Answer 2

To solve the equation (-5/14) × (21/25) - y = 3 3/4, follow these steps:

Step 1: Multiply (-5/14) and (21/25): (-5/14) × (21/25) = (-5 * 21) / (14 * 25) = -105 / 350

Step 2: Simplify the fraction -105/350: -105/350 = (-15 * 7) / (50 * 7) = -15/50

Step 3: Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5: (-15/5) / (50/5) = -3/10

So, (-5/14) × (21/25) simplifies to -3/10.

Now, your equation looks like this: -3/10 - y = 3 3/4

Step 4: Convert 3 3/4 to an improper fraction: 3 3/4 = (4 * 3 + 3) / 4 = 15/4

Now, your equation is: -3/10 - y = 15/4

Step 5: To isolate y, you can add 3/10 to both sides of the equation: -3/10 - y + 3/10 = 15/4 + 3/10

Simplify the right side of the equation: -3/10 - y + 3/10 = (15/4) + (3/10)

Step 6: Add -3/10 and 3/10 on the left side to cancel them out:

• y = (15/4) + (3/10)

Step 7: To add these fractions, find a common denominator, which is 20:

• y = (15/4) * (5/5) + (3/10) * (2/2)
• y = 75/20 + 6/20

Step 8: Add the fractions on the right side:

• y = (75 + 6)/20
• y = 81/20

So, the solution to the equation (-5/14) × (21/25) - y = 3 3/4 is: y = 81/20