Question

3. Амалдарды орындаңыз
а) 8/15+3/1. 13/28-5/28
б) 12/27+14/21. 14/24-15/40
В) 2 3/11+3 1/6. 4 1/5-1 1/15​

Answer 1

$\tt\displaystyle\frac{8}{15}+\frac{3}{15}=\frac{8+3}{15}=\frac{11}{15}$

$\tt\displaystyle\frac{13}{28}-\frac{5}{28}=\frac{13-5}{28}=\frac{8}{28}=\frac{2*\not4}{\not4*7}=\frac{2}{7}$

=================================

$\tt\displaystyle\frac{12}{27}+\frac{14}{21}=\frac{12*7}{27*7}+\frac{14*9}{21*9}=\frac{84}{189}+\frac{126}{189}=\frac{84+126}{189}=\frac{210}{189}=\frac{21*10}{21*9}=\frac{10}{9}=\\\\=1\frac{1}{9}$

$\tt\displaystyle\frac{14}{24}-\frac{15}{40}=\frac{14*5}{24*5}-\frac{15*3}{40*3}=\frac{70}{120}-\frac{45}{120}=\frac{25}{120}=\frac{5*\not5}{24*\not5}=\frac{5}{24}$

=================================

$2\tt\displaystyle\frac{3}{11}+3\frac{1}{6}=2\frac{3*6}{11*6}+3\frac{1*11}{6*11}=2\frac{18}{66}+3\frac{11}{66}=5\frac{29}{66}$

$4\tt\displaystyle\frac{1}{5}-1\frac{1}{15}=4\frac{1*3}{5*3}-1\frac{1}{15}=4\frac{3}{15}-1\frac{1}{15}=3\frac{2}{15}$