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Math  /  Algebra

QuestionSolve. 0.808=310+b0.808=\frac{3}{10}+b
Enter your answer as a decimal in the box. b=b=

Studdy Solution

STEP 1

1. The equation 0.808=310+b 0.808 = \frac{3}{10} + b is asking us to solve for b b .
2. The equation involves basic arithmetic operations, specifically subtraction.
3. The solution should be expressed as a decimal.

STEP 2

1. Understand the equation.
2. Isolate the variable b b .
3. Calculate the value of b b .

STEP 3

The equation 0.808=310+b 0.808 = \frac{3}{10} + b indicates that the sum of 310 \frac{3}{10} and b b equals 0.808 0.808 .

STEP 4

To isolate b b , subtract 310 \frac{3}{10} from both sides of the equation:
b=0.808−310 b = 0.808 - \frac{3}{10}

STEP 5

Convert 310 \frac{3}{10} to a decimal to make subtraction easier:
310=0.3 \frac{3}{10} = 0.3
Now, substitute back into the equation:
b=0.808−0.3 b = 0.808 - 0.3

STEP 6

Perform the subtraction:
b=0.808−0.3=0.508 b = 0.808 - 0.3 = 0.508

STEP 7

The value of b b is:
0.508 \boxed{0.508}

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