Solve for bb. Express your answer as a proper or improper fraction in simplest terms.minus, one third, equals, one half, b, plus, start fraction, 2, divided by, 7, end fraction− 31 =21 b+ 72
Question
Solve for bb. Express your answer as a proper or improper fraction in simplest terms.minus, one third, equals, one half, b, plus, start fraction, 2, divided by, 7, end fraction− 31 =21 b+ 72
Solution
The equation you provided is: -1/3 = 1/2b + 2/7
Step 1: To isolate the variable 'b', we need to get rid of 2/7 from the right side of the equation. We do this by subtracting 2/7 from both sides of the equation.
-1/3 - 2/7 = 1/2b
Step 2: To subtract these fractions, we need to find a common denominator. The least common denominator for 3 and 7 is 21. So, we convert -1/3 and 2/7 to fractions that have 21 as the denominator:
-7/21 - 6/21 = 1/2b
Step 3: Now, subtract the fractions on the left side:
-13/21 = 1/2b
Step 4: To solve for 'b', we need to get rid of 1/2 from the right side of the equation. We do this by multiplying both sides of the equation by 2:
2*(-13/21) = b
Step 5: Simplify the left side to find the value of 'b':
-26/21 = b
So, b = -26/21. This is an improper fraction and it is already in its simplest form.
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