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Find bb. 32+b=74\dfrac{3}{2} + b = \dfrac{7}{4}

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Full solution

Q. Find bb. 32+b=74\dfrac{3}{2} + b = \dfrac{7}{4}
  1. Write Equation: Write down the equation that needs to be solved.\newline32+b=74\frac{3}{2} + b = \frac{7}{4}
  2. Isolate b: To find the value of b, we need to isolate b on one side of the equation. To do this, we will subtract 32\frac{3}{2} from both sides of the equation.\newlineb=74−32b = \frac{7}{4} - \frac{3}{2}
  3. Find Common Denominator: Before subtracting, we need to have a common denominator for the fractions. The common denominator for 22 and 44 is 44. We need to convert 32\frac{3}{2} to a fraction with a denominator of 44.\newline32=3×22×2=64\frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4}\newlineNow we can subtract the fractions.
  4. Subtract Fractions: Subtract the fractions.\newlineb=74−64b = \frac{7}{4} - \frac{6}{4}
  5. Perform Subtraction: Perform the subtraction.\newlineb=7−64b = \frac{7 - 6}{4}\newlineb=14b = \frac{1}{4}

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