Question

1/4+2/3; 21/24+23/32; 6/51+1/9-3/17; 5/18+1/9; 66/84+39/42; (3/8-1/9)+25/36; 1/7+3/8; 23/32+21/24; 5/12+14/15-17/36

Answer 1

1/4+2/3=3/12+8/12=11/12
21/24+23/32 =84/96+69/96=153/96=1 57/96
6/51+1/9-3/17=18/153+17/153-27/153=8/153
5/18+1/9=5/18+2/18=7/18
66/84+39/42=66/84+78/84=144/84=1 60/84
(3/8-1/9)+25/36=(27/72-8/72)+50/72=69/72
1/7+3/8=8/56+27/56=35/56
23/32+21/24 - такой же как второй, от перемены мест слагаемых
5/12+14/15-17/36=75/180+168/180-85/180=150/180

Answer 2

Let's simplify the given expressions step by step:

1. $\frac{1}{4} + \frac{2}{3}$:

To add these fractions, we need to find a common denominator, which in this case is $12$.

$\frac{1}{4} = \frac{3}{12}$

$\frac{2}{3} = \frac{8}{12}$

Now we can add:

$\frac{3}{12} + \frac{8}{12} = \frac{11}{12}$

2. $\frac{21}{24} + \frac{23}{32}$:

To add these fractions, we need to find a common denominator, which in this case is $96$.

$\frac{21}{24} = \frac{7}{8} = \frac{84}{96}$

$\frac{23}{32} = \frac{69}{96}$

Now we can add:

$\frac{84}{96} + \frac{69}{96} = \frac{153}{96}$, which can be simplified to $\frac{51}{32}$.

3. $\frac{6}{51} + \frac{1}{9} - \frac{3}{17}$:

We need to find a common denominator, which in this case is $153$.

$\frac{6}{51} = \frac{2}{17}$

$\frac{1}{9} = \frac{17}{153}$

$\frac{3}{17} = \frac{9}{51} = \frac{17}{153}$

Now we can add:

$\frac{2}{17} + \frac{17}{153} - \frac{17}{153} = \frac{2}{17}$.

4. $\frac{5}{18} + \frac{1}{9}$:

To add these fractions, we need to find a common denominator, which in this case is $18$.

$\frac{5}{18} + \frac{2}{18} = \frac{7}{18}$.

5. $\frac{66}{84} + \frac{39}{42}$:

To add these fractions, we need to find a common denominator, which in this case is $84$.

$\frac{66}{84} = \frac{11}{14}$

$\frac{39}{42} = \frac{13}{14}$

Now we can add:

$\frac{11}{14} + \frac{13}{14} = \frac{24}{14} = \frac{12}{7}$