Calculate. Write the answers as mixed numbers. $$ \begin{array}{llllll}1 & 1 \frac{1}{2}+\frac{3}{5} & 2 & 2 \frac{4}{7}-1 \frac{1}{3} & 3 & 3 \frac{4}{5}+4 \frac{11}{25}\end{array} \quad 4 \frac{21}{30}-5 \frac{1}{6} $$

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Calculate or simplify the expression $$ 1 \frac{1}{2}+\frac{3}{5} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1\frac{1}{2}+\frac{3}{5}$$
- step1: Convert the expressions:
  $$\frac{3}{2}+\frac{3}{5}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{3	imes 5}{2	imes 5}+\frac{3	imes 2}{5	imes 2}$$
- step3: Multiply the numbers:
  $$\frac{3	imes 5}{10}+\frac{3	imes 2}{5	imes 2}$$
- step4: Multiply the numbers:
  $$\frac{3	imes 5}{10}+\frac{3	imes 2}{10}$$
- step5: Transform the expression:
  $$\frac{3	imes 5+3	imes 2}{10}$$
- step6: Multiply the numbers:
  $$\frac{15+3	imes 2}{10}$$
- step7: Multiply the numbers:
  $$\frac{15+6}{10}$$
- step8: Add the numbers:
  $$\frac{21}{10}$$
Calculate or simplify the expression $$ 2 \frac{4}{7}-1 \frac{1}{3} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$2\frac{4}{7}-1\frac{1}{3}$$
- step1: Convert the expressions:
  $$\frac{18}{7}-\frac{4}{3}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{18	imes 3}{7	imes 3}-\frac{4	imes 7}{3	imes 7}$$
- step3: Multiply the numbers:
  $$\frac{18	imes 3}{21}-\frac{4	imes 7}{3	imes 7}$$
- step4: Multiply the numbers:
  $$\frac{18	imes 3}{21}-\frac{4	imes 7}{21}$$
- step5: Transform the expression:
  $$\frac{18	imes 3-4	imes 7}{21}$$
- step6: Multiply the numbers:
  $$\frac{54-4	imes 7}{21}$$
- step7: Multiply the numbers:
  $$\frac{54-28}{21}$$
- step8: Subtract the numbers:
  $$\frac{26}{21}$$
Calculate or simplify the expression $$ 3 \frac{4}{5}+4 \frac{11}{25} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3\frac{4}{5}+4\frac{11}{25}$$
- step1: Convert the expressions:
  $$\frac{19}{5}+\frac{111}{25}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{19	imes 5}{5	imes 5}+\frac{111}{25}$$
- step3: Multiply the numbers:
  $$\frac{19	imes 5}{25}+\frac{111}{25}$$
- step4: Transform the expression:
  $$\frac{19	imes 5+111}{25}$$
- step5: Multiply the numbers:
  $$\frac{95+111}{25}$$
- step6: Add the numbers:
  $$\frac{206}{25}$$
Calculate or simplify the expression $$ 4 \frac{21}{30}-5 \frac{1}{6} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4\frac{21}{30}-5\frac{1}{6}$$
- step1: Convert the expressions:
  $$\frac{141}{30}-\frac{31}{6}$$
- step2: Rewrite the expression:
  $$\frac{47}{10}-\frac{31}{6}$$
- step3: Reduce fractions to a common denominator:
  $$\frac{47	imes 3}{10	imes 3}-\frac{31	imes 5}{6	imes 5}$$
- step4: Multiply the numbers:
  $$\frac{47	imes 3}{30}-\frac{31	imes 5}{6	imes 5}$$
- step5: Multiply the numbers:
  $$\frac{47	imes 3}{30}-\frac{31	imes 5}{30}$$
- step6: Transform the expression:
  $$\frac{47	imes 3-31	imes 5}{30}$$
- step7: Multiply the numbers:
  $$\frac{141-31	imes 5}{30}$$
- step8: Multiply the numbers:
  $$\frac{141-155}{30}$$
- step9: Subtract the numbers:
  $$\frac{-14}{30}$$
- step10: Reduce the fraction:
  $$\frac{-7}{15}$$
- step11: Rewrite the fraction:
  $$-\frac{7}{15}$$
The results of the calculations are:
1. $$1 \frac{1}{2} + \frac{3}{5} = 2 \frac{1}{10}$$
2. $$2 \frac{4}{7} - 1 \frac{1}{3} = 1 \frac{5}{21}$$
3. $$3 \frac{4}{5} + 4 \frac{11}{25} = 8 \frac{6}{25}$$
4. $$4 \frac{21}{30} - 5 \frac{1}{6} = -\frac{7}{15}$$
$$1 \frac{1}{2} + \frac{3}{5} = 2 \frac{1}{10}$$ $$2 \frac{4}{7} - 1 \frac{1}{3} = 1 \frac{5}{21}$$ $$3 \frac{4}{5} + 4 \frac{11}{25} = 8 \frac{6}{25}$$ $$4 \frac{21}{30} - 5 \frac{1}{6} = -\frac{7}{15}$$

Calculate. Write the answers as mixed numbers.

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