Answer:
a. 53/82
b. 13 7/8
c. 12 16/23
d. 8 1/2
e. 5 8/15
f. 10 1/2
g. 3 13/18
h. 1 39/40
Step-by-step explanation:
Step-by-step explanation:
a. 13/41 + 27/82
[tex]\frac{13}{41}+\frac{27}{82}[/tex]
[tex]\frac{13\times 82+27\times 41}{82\times 41}=\frac{53}{82}[/tex]
b. [tex]3\frac{5}{24} + 6\frac{7}{24} + 4\frac{9}{24}[/tex]
[tex]\frac{77}{24}+\frac{151}{24}+\frac{105}{24}[/tex]
[tex]\frac{77+151+105}{24}=\frac{333}{24}[/tex]
c) [tex]5\frac{2}{3} + \frac{29}{69} + 6 \frac{21}{23}[/tex]
[tex]\frac{17}{3}+\frac{29}{69} +\frac{159}{23}[/tex]
[tex]\frac{17\times 23}{3\times 23}+\frac{29}{69} +\frac{159\times 3}{23\times 3}[/tex]
[tex]\frac{17\times 23+29+159\times 3}{69}=\frac{897}{69}=\frac{13}{1}[/tex]
d) [tex]3\frac{9}{10} + \frac{4}{9} + \frac{7}{45} + 4[/tex]
[tex]\frac{39}{10} + \frac{4}{9} + \frac{7}{45} + \frac{4}{1}[/tex]
[tex]\frac{39}{10} +\frac{4\times 10}{1\times 10}+\frac{4\times 5}{9\times 5} + \frac{7}{45}[/tex]
[tex]\frac{39+1\times 10}{10}+ +\frac{4\times 5+7}{45}[/tex]
[tex]\frac{49}{10}+\frac{27}{45}[/tex]
[tex]\frac{49\times 45+27\times 10}{10\times 45}=\frac{11}{2}[/tex]
e)[tex]6-\frac{7}{15}[/tex]
[tex]\frac{6}{1}--\frac{7}{15}[/tex]
[tex]\frac{6\times 15-7\times 1}{1\times 15}=\frac{83}{15}[/tex]
f)[tex]11\frac{3}{8} - \frac{7}{8}[/tex]
[tex]\frac{91}{8}- \frac{7}{8}[/tex]
[tex]\frac{91-7}{8}=\frac{84}{8}=\frac{21}{2}[/tex]
g)[tex]7 \frac{1}{6} - 3\frac{4}{9}[/tex]
[tex]\frac{43}{6}-\frac{41}{9}[/tex]
[tex]\frac{43\times 9-41\times 6}{54}[/tex]
[tex]=\frac{141}{54}=\frac{47}{18}[/tex]
h)[tex]5\frac{3}{8}-3\frac{2}{5}[/tex]
[tex]\frac{43}{8}-\frac{17}{5}[/tex]
[tex]\frac{43\times 5-17\times 8}{8\times 5}=\frac{79}{40}[/tex]
