Bapuanm 19.1 Bbinonth ywa3ahthile Aeticraws: 1) 5(10)/(19):(15)/(19) 1) 2(3)/(5):1(3)/(10) 2) 1(1)/(4)+4(9)/(10) 2) 1(13)/(21)+(4)/(9) 3) 3(1)/(5)cdot 1(1)/(4) 3) (4)/(5):3(1)/(2) 4) 5(2)/(3)-3(5)/(6) 4) 3cdot 4(1)/(3) 5) 4(2)/(5):1(3)/(5) 5) 4(5)/(6)-3(5)/(8) 6) 5(5)/(6)-2(1)/(21) 6) 1(2)/(19)cdot 1(2)/(7) 7) 2(2)/(11)+(2)/(11) 7) 1(8)/(21)+3(2)/(7) 3) 5(1)/(3)cdot 5 8) 2-1(12)/(19) BapuaHm 19.3

Let's solve each problem step by step:<br /><br />1) $5\frac {10}{19}:\frac {15}{19}$<br />To solve this, we first convert the mixed number to an improper fraction:<br />$5\frac {10}{19} = \frac{5 \times 19 + 10}{19} = \frac{99}{19}$<br />Then, we divide by the fraction:<br />$\frac{99}{19} \div \frac{15}{19} = \frac{99}{19} \times \frac{19}{15} = \frac{99}{15} = 6.6$<br /><br />1) $2\frac {3}{5}:1\frac {3}{10}$<br />Convert the mixed numbers to improper fractions:<br />$2\frac {3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5}$<br />$1\frac {3}{10} = \frac{1 \times 10 + 3}{10} = \frac{13}{10}$<br />Then, divide the fractions:<br />$\frac{13}{5} \div \frac{13}{10} = \frac{13}{5} \times \frac{10}{13} = 2$<br /><br />2) $1\frac {1}{4}+4\frac {9}{10}$<br />Convert the mixed numbers to improper fractions:<br />$1\frac {1}{4} = \frac{1 \times 4 + 1}{4} = \frac{5}{4}$<br />$4\frac {9}{10} = \frac{4 \times 10 + 9}{10} = \frac{49}{10}$<br />Then, add the fractions:<br />$\frac{5}{4} + \frac{49}{10} = \frac{25}{20} + \frac{98}{20} = \frac{123}{20} = 6.15$<br /><br />2) $1\frac {13}{21}+\frac {4}{9}$<br />Convert the mixed number to an improper fraction:<br />$1\frac {13}{21} = \frac{1 \times 21 + 13}{21} = \frac{34}{21}$<br />Then, add the fractions:<br />$\frac{34}{21} + \frac{4}{9} = \frac{102}{189} + \frac{84}{189} = \frac{186}{189} = \frac{62}{63}$<br /><br />3) $3\frac {1}{5}\cdot 1\frac {1}{4}$<br />Convert the mixed numbers to improper fractions:<br />$3\frac {1}{5} = \frac{3 \times 5 + 1}{5} = \frac{16}{5}$<br />$1\frac {1}{4} = \frac{1 \times 4 + 1}{4} = \frac{5}{4}$<br />Then, multiply the fractions:<br />$\frac{16}{5} \cdot \frac{5}{4} = \frac{80}{20} = 4$<br /><br />3) $\frac {4}{5}:3\frac {1}{2}$<br />Convert the mixed number to an improper fraction:<br />$3\frac {1}{2} = \frac{3 \times 2 + 1}{2} = \frac{7}{2}$<br />Then, divide the fractions:<br />$\frac{4}{5} \div \frac{7}{2} = \frac{4}{5} \times \frac{2}{7} = \frac{8}{35}$<br /><br />4) $5\frac {2}{3}-3\frac {5}{6}$<br />Convert the mixed numbers to improper fractions:<br />$5\frac {2}{3} = \frac{5 \times 3 + 2}{3} = \frac{17}{3}$<br />$3\frac {5}{6} = \frac{3 \times 6 + 5}{6} = \frac{23}{6}$<br />Then, subtract the fractions:<br />$\frac{17}{3} - \frac{23}{6} = \frac{34}{6} - \frac{23}{6} = \frac{11}{6} = 1\frac{5}{6}$<br /><br />4) $3\cdot 4\frac {1}{3}$<br />Convert the mixed number to an improper fraction:<br />$4\frac {1}{3} = \frac{4 \times 3 + 1}{3} = \frac{13}{3}$<br />Then, multiply the fractions:<br />$3 \cdot \frac{13}{3} = \frac{39}{3} = 13$<br /><br />5) $4\frac {2}{5}:1\frac {3}{5}$<br />