-calculer et simplifier si possible: $$ \frac{13}{7}+\frac{8}{7} ; \frac{2,3}{9}-\frac{5}{9} ; \frac{5}{7} imes \frac{1}{4} $$ $$ \frac{2}{15}+\frac{1}{5} ; \frac{3}{19}-\frac{5}{100} $$

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-calculer et simplifier si possible: $$ \frac{13}{7}+\frac{8}{7} ; \frac{2,3}{9}-\frac{5}{9} ; \frac{5}{7} 	imes \frac{1}{4} $$ $$ \frac{2}{15}+\frac{1}{5} ; \frac{3}{19}-\frac{5}{100} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 13/7+8/7 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{13}{7}+\frac{8}{7}$$
- step1: Transform the expression:
  $$\frac{13+8}{7}$$
- step2: Add the numbers:
  $$\frac{21}{7}$$
- step3: Divide the terms:
  $$3$$
Calculate or simplify the expression $$ 2.3/9-5/9 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2.3}{9}-\frac{5}{9}$$
- step1: Divide the terms:
  $$\frac{23}{90}-\frac{5}{9}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{23}{90}-\frac{5	imes 10}{9	imes 10}$$
- step3: Multiply the numbers:
  $$\frac{23}{90}-\frac{5	imes 10}{90}$$
- step4: Transform the expression:
  $$\frac{23-5	imes 10}{90}$$
- step5: Multiply the numbers:
  $$\frac{23-50}{90}$$
- step6: Subtract the numbers:
  $$\frac{-27}{90}$$
- step7: Reduce the fraction:
  $$\frac{-3}{10}$$
- step8: Rewrite the fraction:
  $$-\frac{3}{10}$$
Calculate or simplify the expression $$ 5/7 	imes 1/4 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\frac{5}{7}	imes 1}{4}$$
- step1: Multiply:
  $$\frac{\frac{5}{7}}{4}$$
- step2: Multiply by the reciprocal:
  $$\frac{5}{7}	imes \frac{1}{4}$$
- step3: Multiply the fractions:
  $$\frac{5}{7	imes 4}$$
- step4: Multiply:
  $$\frac{5}{28}$$
Calculate or simplify the expression $$ 2/15+1/5 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{2}{15}+\frac{1}{5}$$
- step1: Reduce fractions to a common denominator:
  $$\frac{2}{15}+\frac{3}{5	imes 3}$$
- step2: Multiply the numbers:
  $$\frac{2}{15}+\frac{3}{15}$$
- step3: Transform the expression:
  $$\frac{2+3}{15}$$
- step4: Add the numbers:
  $$\frac{5}{15}$$
- step5: Reduce the fraction:
  $$\frac{1}{3}$$
Calculate or simplify the expression $$ 3/19-5/100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{3}{19}-\frac{5}{100}$$
- step1: Reduce the fraction:
  $$\frac{3}{19}-\frac{1}{20}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{3	imes 20}{19	imes 20}-\frac{19}{20	imes 19}$$
- step3: Multiply the numbers:
  $$\frac{3	imes 20}{380}-\frac{19}{20	imes 19}$$
- step4: Multiply the numbers:
  $$\frac{3	imes 20}{380}-\frac{19}{380}$$
- step5: Transform the expression:
  $$\frac{3	imes 20-19}{380}$$
- step6: Multiply the numbers:
  $$\frac{60-19}{380}$$
- step7: Subtract the numbers:
  $$\frac{41}{380}$$
Les résultats simplifiés des calculs sont les suivants :

1. $$ \frac{13}{7} + \frac{8}{7} = 3 $$
2. $$ \frac{2.3}{9} - \frac{5}{9} = -\frac{3}{10} $$ ou $$ -0.3 $$
3. $$ \frac{5}{7} 	imes \frac{1}{4} = \frac{5}{28} $$ ou $$ 0.17857142857142858 $$
4. $$ \frac{2}{15} + \frac{1}{5} = \frac{1}{3} $$ ou $$ 0.3333333333333333 $$
5. $$ \frac{3}{19} - \frac{5}{100} = \frac{41}{380} $$
1. $$ \frac{13}{7} + \frac{8}{7} = 3 $$ 2. $$ \frac{2.3}{9} - \frac{5}{9} = -\frac{3}{10} $$ ou $$ -0.3 $$ 3. $$ \frac{5}{7} 	imes \frac{1}{4} = \frac{5}{28} $$ ou $$ 0.17857142857142858 $$ 4. $$ \frac{2}{15} + \frac{1}{5} = \frac{1}{3} $$ ou $$ 0.3333333333333333 $$ 5. $$ \frac{3}{19} - \frac{5}{100} = \frac{41}{380} $$

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