To solve this equation, we first need to simplify the expression on the left side of the equation:
3 3/8 ÷ (1/14x + 5/7) = 27/8 ÷ (1/14x + 5/7)
Next, we can rewrite the division as multiplication by the reciprocal of the second fraction:
27/8 * (7/5) / (1/14x + 5/7)
Now, simplify the expression by multiplying the numerators and denominators separately:
(27 7) / (8 5) / (1/14x + 5/7)189 / 40 / (1/14x + 5/7)
Now, we can rewrite the fraction division as multiplication by the reciprocal:
189 / 40 * (7/1) / (1/14x + 5/7)
Simplify the expression by multiplying the numerators and denominators:
189 7 / (40 1) / (1/14x + 5/7)1323 / 40 / (1/14x + 5/7)
The equation now becomes:
1323 / 40 / (1/14x + 5/7) = 2.1
To solve for x, we need to multiply both sides by (1/14x + 5/7):
1323 / 40 = 2.1 * (1/14x + 5/7)
1323 / 40 = 2.1 / 14x + 10.5 / 7
1323 / 40 = 0.15x + 1.5
1323 = 6x + 60
1263 = 6x
x = 210
To solve this equation, we first need to simplify the expression on the left side of the equation:
3 3/8 ÷ (1/14x + 5/7) = 27/8 ÷ (1/14x + 5/7)
Next, we can rewrite the division as multiplication by the reciprocal of the second fraction:
27/8 * (7/5) / (1/14x + 5/7)
Now, simplify the expression by multiplying the numerators and denominators separately:
(27 7) / (8 5) / (1/14x + 5/7)
189 / 40 / (1/14x + 5/7)
Now, we can rewrite the fraction division as multiplication by the reciprocal:
189 / 40 * (7/1) / (1/14x + 5/7)
Simplify the expression by multiplying the numerators and denominators:
189 7 / (40 1) / (1/14x + 5/7)
1323 / 40 / (1/14x + 5/7)
The equation now becomes:
1323 / 40 / (1/14x + 5/7) = 2.1
To solve for x, we need to multiply both sides by (1/14x + 5/7):
1323 / 40 = 2.1 * (1/14x + 5/7)
1323 / 40 = 2.1 / 14x + 10.5 / 7
1323 / 40 = 0.15x + 1.5
1323 = 6x + 60
1263 = 6x
x = 210