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3438\frac{3}{4}-\frac{3}{8}

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Q. 3438\frac{3}{4}-\frac{3}{8}
  1. Write Problem: Write down the problem.\newlineWe have the expression (34)(38)(\frac{3}{4}) - (\frac{3}{8}).
  2. Find Common Denominator: Find a common denominator for the fractions.\newlineThe common denominator for 44 and 88 is 88.
  3. Convert First Fraction: Convert the first fraction to have the common denominator.\newline(34)(\frac{3}{4}) can be written as (3×24×2)(\frac{3\times2}{4\times2}) which simplifies to (68)(\frac{6}{8}).
  4. Rewrite Expression: Rewrite the expression with the common denominator.\newlineNow we have (68)(38)(\frac{6}{8}) - (\frac{3}{8}).
  5. Subtract Numerators: Subtract the numerators and keep the common denominator.\newline(68)(38)=638(\frac{6}{8}) - (\frac{3}{8}) = \frac{6 - 3}{8}.
  6. Perform Subtraction: Perform the subtraction.\newline(63)/8=3/8(6 - 3)/8 = 3/8.

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