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2-(1)/(8)-(1)/(4)=

21814= 2-\frac{1}{8}-\frac{1}{4}=

Full solution

Q. 21814= 2-\frac{1}{8}-\frac{1}{4}=
  1. Convert to Fraction: We need to subtract fractions from a whole number, so let's convert the whole number to a fraction with a common denominator.\newline22 can be written as 168\frac{16}{8} to match the denominators of the fractions we're subtracting.\newlineCalculation: 2=1682 = \frac{16}{8}
  2. Subtract 11/88: Now let's subtract the first fraction, one-eighth, from 168\frac{16}{8}.\newlineCalculation: 16818=(161)8\frac{16}{8} - \frac{1}{8} = \frac{(16 - 1)}{8}
  3. Find New Fraction: Perform the subtraction to find the new fraction.\newlineCalculation: (161)/8=15/8(16 - 1)/8 = 15/8
  4. Convert 14\frac{1}{4}: Next, we need to subtract the second fraction, one-quarter, from our current fraction, 158\frac{15}{8}. But first, we need to have the same denominator, so we convert one-quarter to two-eighths. Calculation: 14=28\frac{1}{4} = \frac{2}{8}
  5. Subtract 28\frac{2}{8}: Now subtract two-eighths from fifteen-eighths.\newlineCalculation: 15828=(152)8\frac{15}{8} - \frac{2}{8} = \frac{(15 - 2)}{8}
  6. Find Final Answer: Perform the subtraction to find the final answer.\newlineCalculation: (152)/8=13/8(15 - 2)/8 = 13/8

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