Question

Вычислите:
1)3/20+2/15
2)17/32-5/12
3)11/28+9/14
4)35/36-41/45
5)3 21/25+1 2/5
6)4 13/16-2 3/8
7)5 5/6-31/48
8)6 4/7-2 37/77


Помагите пожалуйста

Answer 1

Ответ:

Пошаговое объяснение:

$1) \dfrac{3}{20} +\dfrac{2}{15} =\dfrac{3}{20}^{\backslash3}+\dfrac{2}{15}^{\backslash4}=\dfrac{9+8}{60} =\dfrac{17}{60} ;$

$2) \dfrac{17}{32} -\dfrac{5}{12} =\dfrac{17}{32}^{\backslash3}-\dfrac{5}{12}^{\backslash8}=\dfrac{51-40}{96} =\dfrac{11}{96} ;$

$3) \dfrac{11}{28} +\dfrac{9}{14} =\dfrac{11}{28}^{\backslash1}+\dfrac{9}{14}^{\backslash2}=\dfrac{11+18}{28} =\dfrac{29}{28} =1\dfrac{1}{28} ;$

$4) \dfrac{35}{36} -\dfrac{41}{45} =\dfrac{35}{36}^{\backslash5}-\dfrac{41}{45}^{\backslash4}=\dfrac{175-162}{180} =\dfrac{13}{180} ;$

$5) 3 \dfrac{21}{25} +1\dfrac{2}{5} =2\dfrac{21}{25}^{\backslash1}+1\dfrac{2}{5}^{\backslash5}=3\dfrac{21+10}{25} =3\dfrac{31}{25} =4\dfrac{6}{25} ;$

$6) 4 \dfrac{13}{16} -2\dfrac{3}{8} =4\dfrac{13}{16}^{\backslash1}-2\dfrac{3}{8}^{\backslash2}=2\dfrac{13-6}{16} =2\dfrac{7}{16} ;$

$7) 5 \dfrac{5}{6} -\dfrac{31}{48} =5\dfrac{5}{6}^{\backslash8}-\dfrac{31}{48}^{\backslash1}=5\dfrac{40-31}{48} =5\dfrac{9}{48} =5\dfrac{3}{16} ;$

$8) 6\dfrac{4}{7} -2\dfrac{37}{77} =6\dfrac{4}{7}^{\backslash11}-2\dfrac{37}{77}^{\backslash1}=4\dfrac{44-37}{77} =4\dfrac{7}{77} =4\dfrac{1}{11 }.$