Question

1.4 13/17+5 4/17,2.3 8/11 + 2 6/11,3. 1- 16/21,4.5-2 3/8,5.8 4/9-3 7/9,6,6.12 19/44-6 37/44​

Answer 1

$1)4 \frac{13}{17} + 5 \frac{4}{17} = 9 \frac{17}{17} = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ 2)3 \frac{8}{11} + 2 \frac{6}{11} = 5 \frac{14}{11} = 6 \frac{3}{11} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ 3)1 - \frac{16}{21} = \frac{5}{21 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ 4)5 - 2 \frac{3}{8} = 2 \frac{5}{8} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ 5)8 \frac{4}{9} - 3 \frac{7}{9} = 7 \frac{13}{9} - 3 \frac{7}{9} = 4 \frac{6}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ 6) 12 \frac{19}{44} - 6 \frac{37}{44} = 11 \frac{63}{44} - 6 \frac{37}{44} = \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = 5 \frac{26}{44} = 5 \frac{13}{22} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Answer 2

Let's solve each of these arithmetic expressions step by step:

1. $\frac{13}{17} + \frac{5}{4} = \frac{13}{17} + \frac{20}{17} = \frac{13 + 20}{17} = \frac{33}{17}$

2. $\frac{8}{11} + \frac{6}{11} = \frac{8 + 6}{11} = \frac{14}{11}$

3. $1 - \frac{16}{21}$

To subtract fractions, we need a common denominator, which in this case is 21:

$1 - \frac{16}{21} = \frac{21}{21} - \frac{16}{21} = \frac{21 - 16}{21} = \frac{5}{21}$

4. $4.5 - 2 \frac{3}{8}$

To subtract mixed numbers, we convert the mixed number into an improper fraction:

$4.5 = \frac{4}{1} + \frac{1}{2} = \frac{9}{2}$

$2 \frac{3}{8} = \frac{16}{8} + \frac{3}{8} = \frac{19}{8}$

Now we subtract the fractions:

$\frac{9}{2} - \frac{19}{8}$

To subtract fractions, we need a common denominator, which in this case is 8:

$\frac{9}{2} - \frac{19}{8} = \frac{36}{8} - \frac{19}{8} = \frac{36 - 19}{8} = \frac{17}{8}$

5. $\frac{8}{9} - \frac{7}{9}$

Subtracting fractions with the same denominator:

$\frac{8}{9} - \frac{7}{9} = \frac{8 - 7}{9} = \frac{1}{9}$

6. $6\frac{12}{44} - 6\frac{37}{44}$

To subtract mixed numbers, we convert them into improper fractions:

$6\frac{12}{44} = \frac{6 \cdot 44}{44} + \frac{12}{44} = \frac{264}{44} + \frac{12}{44} = \frac{276}{44}$

$6\frac{37}{44} = \frac{6 \cdot 44}{44} + \frac{37}{44} = \frac{264}{44} + \frac{37}{44} = \frac{301}{44}$