Question

4/9y + 1/3y = 6 3/10

Answer 1

4/9y + 1/3y = 6 3/10

4/9y + 3/9y = 63/10

7/9y = 63/10

y = 63/10 * 9/7

y = 81/10

y = 8 1/10

Answer 2

To solve the equation, we need to combine the fractions and isolate the variable "y" on one side of the equation. Let's start by combining the fractions on the left-hand side:

4/9y + 1/3y = 6 3/10

To combine the fractions, we need a common denominator, which in this case is 9, because it's the least common multiple of 9 and 3:

(4/9 + 3/9)y = 6 3/10

(7/9)y = 6 3/10

Now, let's convert the mixed number on the right-hand side to an improper fraction. The whole number part will be multiplied by the denominator and then added to the numerator:

6 3/10 = (6 * 10 + 3)/10 = 63/10

The equation now becomes:

(7/9)y = 63/10

To solve for "y," we can simply multiply both sides by the reciprocal of 7/9, which is 9/7:

y = (63/10) * (9/7)

Now, let's multiply the fractions on the right-hand side:

y = (567/70)

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it:

GCD(567, 70) = 7

y = (567/7)/(70/7)

y = 81/10

So, the value of "y" that satisfies the equation is:

y = 81/10