Question

5\6+7\15= 2целых2\3+3целых5\9= 3\5-4\15= 4целых3\14-2целых8\21= 5\42×6\7=

Answer 1

1) 1 целая 3/10
2)6 целых 2/9
3)1/3
4)1 целая 5/6
5)5/49

Answer 2

Let's calculate each of the expressions:

1. $\frac{5}{6} + \frac{7}{15}$: To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 15, which is 30. Converting both fractions to have a denominator of 30: $\frac{5}{6} \times \frac{5}{5} = \frac{25}{30}$ $\frac{7}{15} \times \frac{2}{2} = \frac{14}{30}$ Now we can add them: $\frac{25}{30} + \frac{14}{30} = \frac{39}{30}$ Simplifying the fraction, we get: $\frac{39}{30} = 1\frac{9}{30} = 1\frac{3}{10}$

2. $2\frac{2}{3} + 3\frac{5}{9}$: To add these mixed numbers, we first convert them to improper fractions: $2\frac{2}{3} = \frac{2\times3+2}{3} = \frac{8}{3}$ $3\frac{5}{9} = \frac{3\times9+5}{9} = \frac{32}{9}$ Now we can add them: $\frac{8}{3} + \frac{32}{9}$: To add these fractions, we need a common denominator, which is the LCM of 3 and 9, which is 9. Converting both fractions to have a denominator of 9: $\frac{8}{3} \times \frac{3}{3} = \frac{24}{9}$ $\frac{32}{9}$ Now we can add them: $\frac{24}{9} + \frac{32}{9} = \frac{56}{9}$ Simplifying the fraction, we get: $\frac{56}{9} = 6\frac{2}{9}$

3. $\frac{3}{5} - \frac{4}{15}$: To subtract these fractions, we need a common denominator, which is the LCM of 5 and 15, which is 15. Converting both fractions to have a denominator of 15: $\frac{3}{5} \times \frac{3}{3} = \frac{9}{15}$ $\frac{4}{15}$ Now we can subtract them: $\frac{9}{15} - \frac{4}{15} = \frac{5}{15}$ Simplifying the fraction, we get: $\frac{5}{15} = \frac{1}{3}$

4. $4\frac{3}{14} - 2\frac{8}{21}$: To subtract these mixed numbers, we first convert them to improper fractions: $4\frac{3}{14} = \frac{4\times14+3}{14} = \frac{59}{14}$