The problem is [latex]21 \frac{11}{12} + 17 \frac{5}{12} [/latex] Add the whole numbers [latex]21 + 17 = 38[/latex] Match up the fractions and make sure the denominators are the same (they are) [latex] \frac{11}{12} + \frac{5}{12} [/latex] [latex]= \frac{16}{12} [/latex] Break down the fraction [latex]16[/latex] ÷ [latex]12 = 1 \frac{4}{12} [/latex] Reduce-You need to find a common factor for both the numerator and denominator [latex]4[/latex] ÷ [latex]4[/latex] [latex]= 1[/latex] [latex]12[/latex] ÷ [latex]4 = 3[/latex] Combine everything [latex]38 + 1\frac{1}{3} =39 \frac{1}{3} [/latex] Answer: [latex]39 \frac{1}{3} [/latex]

If you would like to calculate 21 11/12 + 17 5/12, you can do this using the following steps: 21 11/12 + 17 5/12 = 263/12 + 209/12 = (263 + 209) / 12 = 472/12 = 118/3 = 39 1/3 The correct result would be 39 1/3.