Simplify: 2 1/6-7/12+1/4

Convert to Improper Fraction: Convert mixed number to improper fraction: 2 1/6 = (2 * 6 + 1)/6 = 13/6.Find Common Denominator: Find a common denominator for 13/6, -7/12, and 1/4. The common denominator is 12.Convert to Common Denominator: Convert all fractions to have the common denominator: 13/6 = (13 * 2)/(6 * 2) = 26/12, -7/12 stays the same, 1/4 = (1 * 3)/(4 * 3) = 3/12.Add Fractions: Add the fractions with the common denominator: 26/12 - 7/12 + 3/12 = (26 - 7 + 3)/12 = 22/12.

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Algebra 1

Factor by grouping

Full solution

Q. Simplify:

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2 \frac{1}{6}-\frac{7}{12}+\frac{1}{4}

Convert to Improper Fraction: Convert mixed number to improper fraction: $2 \frac{1}{6} = (2 \times 6 + 1)/6 = \frac{13}{6}$ .
Find Common Denominator: Find a common denominator for $\frac{13}{6}$ , $-\frac{7}{12}$ , and $\frac{1}{4}$ . The common denominator is $12$ .
Convert to Common Denominator: Convert all fractions to have the common denominator: $\newline$ $\frac{13}{6} = \frac{(13 \times 2)}{(6 \times 2)} = \frac{26}{12}$ , $\newline$ $-\frac{7}{12}$ stays the same, $\newline$ $\frac{1}{4} = \frac{(1 \times 3)}{(4 \times 3)} = \frac{3}{12}$ .
Add Fractions: Add the fractions with the common denominator: $\frac{26}{12} - \frac{7}{12} + \frac{3}{12} = \frac{(26 - 7 + 3)}{12} = \frac{22}{12}.$