Question
Solve the equation. Solve for d.
2/7d-1/5=1/9
2/7d-1/5=1/9
Answers
GPT 3.5
To solve for d, we first need to get d by itself on one side of the equation.
First, let's find a common denominator for the fractions. The least common multiple of 7, 5, and 9 is 315.
Rewriting the equation with the common denominator:
(2/7)d * 45 - (1/5) * 63 = (1/9) * 315
90d/315 - 63/315 = 35
Now, combine the fractions:
90d - 63 = 35
Add 63 to both sides:
90d = 98
Divide by 90:
d = 98/90
d = 49/45
Therefore, d = 49/45.
First, let's find a common denominator for the fractions. The least common multiple of 7, 5, and 9 is 315.
Rewriting the equation with the common denominator:
(2/7)d * 45 - (1/5) * 63 = (1/9) * 315
90d/315 - 63/315 = 35
Now, combine the fractions:
90d - 63 = 35
Add 63 to both sides:
90d = 98
Divide by 90:
d = 98/90
d = 49/45
Therefore, d = 49/45.