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316−34+783 \frac{1}{6}-\frac{3}{4}+\frac{7}{8}

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Full solution

Q. 316−34+783 \frac{1}{6}-\frac{3}{4}+\frac{7}{8}
  1. Convert to Improper Fraction: Convert mixed number to improper fraction.\newline316=(3×6+1)/6=1963 \frac{1}{6} = (3 \times 6 + 1)/6 = \frac{19}{6}
  2. Find Common Denominator: Find a common denominator for all fractions.\newlineCommon denominator for 66, 44, and 88 is 2424.
  3. Convert to Common Denominator: Convert all fractions to have the common denominator of 2424.196=19×46×4=7624\frac{19}{6} = \frac{19 \times 4}{6 \times 4} = \frac{76}{24}34=3×64×6=1824\frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24}78=7×38×3=2124\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}
  4. Add and Subtract Fractions: Add and subtract the fractions with the common denominator.\newline7624−1824+2124=76−18+2124\frac{76}{24} - \frac{18}{24} + \frac{21}{24} = \frac{76 - 18 + 21}{24}
  5. Perform Calculations: Perform the calculations.\newline(76−18+21)/24=(76+21−18)/24=(97−18)/24=79/24(76 - 18 + 21)/24 = (76 + 21 - 18)/24 = (97 - 18)/24 = 79/24
  6. Convert to Mixed Number: Convert the improper fraction back to a mixed number. 7924=3\frac{79}{24} = 3 remainder 77, so it's 37243 \frac{7}{24}.

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