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7(1)/(3)-2(5)/(6)=

77. 713−256= 7 \frac{1}{3}-2 \frac{5}{6}=

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Full solution

Q. 77. 713−256= 7 \frac{1}{3}-2 \frac{5}{6}=
  1. Convert to Improper Fractions: First, convert the mixed numbers to improper fractions. \newline7137\frac{1}{3} becomes 21+13=223\frac{21 + 1}{3} = \frac{22}{3}.\newline2562\frac{5}{6} becomes 12+56=176\frac{12 + 5}{6} = \frac{17}{6}.
  2. Find Common Denominator: Now, subtract the two improper fractions.\newlineTo do this, find a common denominator, which is 66 in this case.\newlineConvert 223\frac{22}{3} to an equivalent fraction with a denominator of 66 by multiplying both the numerator and the denominator by 22.\newline223×22=446.\frac{22}{3} \times \frac{2}{2} = \frac{44}{6}.
  3. Subtract Fractions: Now subtract 446\frac{44}{6} from 176\frac{17}{6}. \newline446−176=276.\frac{44}{6} - \frac{17}{6} = \frac{27}{6}.

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