Question: B. Add the following: 1. $9 + \frac{2}{3}$ 2. $5 + \frac{7}{15} + \frac{1}{15}$ 3…

B. Add the following:

1. $9 + \frac{2}{3}$
2. $5 + \frac{7}{15} + \frac{1}{15}$
3. $\frac{2}{25} + 10$
4. $\frac{11}{21} + 35$
5. $3 + \frac{2}{17} + 4$
6. $\frac{8}{19} + 15$

Find the sum:

1. $53 + 4\frac{3}{7}$
2. $22\frac{2}{3} + 15$
3. $7\frac{11}{19} + 15\frac{2}{19}$
4. $14\frac{3}{10} + \frac{4}{10}$
5. $103\frac{2}{15} + 65\frac{6}{15}$
6. $9\frac{2}{17} + 11\frac{13}{17}$

Solution

To solve these problems, we’ll go through each addition step by step: ### B. Add the following: 1. \( 9 + \frac{2}{3} \) Convert 9 to a fraction with denominator 3: \[ 9 = \frac{27}{3} \] Add the fractions: \[ \frac{27}{3} + \frac{2}{3} = \frac{29}{3} \] 2. \( 5 + \frac{7}{15} + \frac{1}{15} \) Convert 5 to a fraction with the denominator 15: \[ 5 = \frac{75}{15} \] Add the fractions: \[ \frac{75}{15} + \frac{7}{15} + \frac{1}{15} = \frac{83}{15} \] 3. \( \frac{2}{25} + 10 \) Convert 10 to a fraction with denominator 25: \[ 10 = \frac{250}{25} \] Add the fractions: \[ \frac{2}{25} + \frac{250}{25} = \frac{252}{25} \] 4. \( \frac{11}{21} + 35 \) Convert 35 to a fraction with denominator 21: \[ 35 = \frac{735}{21} \] Add the fractions: \[ \frac{11}{21} + \frac{735}{21} = \frac{746}{21} \] 5. \( 3 + \frac{2}{17} + 4 \) Convert 3 and 4 to fractions with denominator 17 and add them: \[ 3 = \frac{51}{17}, \quad 4 = \frac{68}{17} \] Add the fractions: \[ \frac{51}{17} + \frac{2}{17} + \frac{68}{17} = \frac{121}{17} \] 6. \( \frac{8}{19} + 15 \) Convert 15 to a fraction with denominator 19: \[ 15 = \frac{285}{19} \] Add the fractions: \[ \frac{8}{19} + \frac{285}{19} = \frac{293}{19} \] ### Find the sum: 1. \( 53 + \frac{4}{3} \) Convert 53 to a fraction with denominator 3: \[ 53 = \frac{159}{3} \] Add the fractions: \[ \frac{159}{3} + \frac{4}{3} = \frac{163}{3} \] 2. \( 22\frac{2}{3} + 15 \) Convert \(22\frac{2}{3}\) to an improper fraction: \[ 22\frac{2}{3} = \frac{68}{3} \] Convert 15 to a fraction with the same denominator: \[ 15 = \frac{45}{3} \] Add the fractions: \[ \frac{68}{3} + \frac{45}{3} = \frac{113}{3} \] 3. \( \frac{11}{19} + \frac{2}{19} + 7 + 15 \) Convert 7 and 15 to fractions with denominator 19 and add them: \[ 7 = \frac{133}{19}, \quad 15 = \frac{285}{19} \] Add the fractions: \[ \frac{11}{19} + \frac{2}{19} + \frac{133}{19} + \frac{285}{19} = \frac{431}{19} \] 4. \( \frac{3}{10} + \frac{4}{10} + 14 \) Convert 14 to a fraction with the denominator 10: \[ 14 = \frac{140}{10} \] Add the fractions: \[ \frac{3}{10} + \frac{4}{10} + \frac{140}{10} = \frac{147}{10} \] 5. \( 103 + \frac{2}{15} + 65 + \frac{6}{15} \) Convert 103 and 65 to fractions with denominator 15 and add them: \[ 103 = \frac{1545}{15}, \quad 65 = \frac{975}{15} \] Add the fractions: \[ \frac{1545}{15} + \frac{2}{15} + \frac{975}{15} + \frac{6}{15} = \frac{2528}{15} \] 6. \( 9 + \frac{2}{17} + 11 + \frac{13}{17} \) Convert 9 and 11 to fractions with denominator 17 and add them: \[ 9 = \frac{153}{17}, \quad 11 = \frac{187}{17} \] Add the fractions: \[ \frac{153}{17} + \frac{2}{17} + \frac{187}{17} + \frac{13}{17} = \frac{355}{17} \]