Answer :
1). 6 3/4+1 6/7
= 27/4 + 13/7
= ((27 × 7) + (13 × 4)) / (4 × 7)
= (189 + 52) / 28
= 241/28
= 241/28
= 8 17/28
2). 9 1/5- 2 7/8
= 46/5 − 23/8
= ((46 × 8) − (23 × 5)) / (5 × 8)
= (368 - 115) / 40
= 253/40
= 253/40
= 6 13/40
3). 4 1/3* 1 3/4
= 13/3 × 7/4
= (13 × 7) / (3 × 4)
= 91/12
= 91/12
= 7 7/12
4). 6 6/7 ÷ 3 2/3
= 48/7 ÷ 11/3
= (48 × 3) / (11 × 7)
= 144/77
= 144/77
= 1 67/77
Hope I helped!
= 27/4 + 13/7
= ((27 × 7) + (13 × 4)) / (4 × 7)
= (189 + 52) / 28
= 241/28
= 241/28
= 8 17/28
2). 9 1/5- 2 7/8
= 46/5 − 23/8
= ((46 × 8) − (23 × 5)) / (5 × 8)
= (368 - 115) / 40
= 253/40
= 253/40
= 6 13/40
3). 4 1/3* 1 3/4
= 13/3 × 7/4
= (13 × 7) / (3 × 4)
= 91/12
= 91/12
= 7 7/12
4). 6 6/7 ÷ 3 2/3
= 48/7 ÷ 11/3
= (48 × 3) / (11 × 7)
= 144/77
= 144/77
= 1 67/77
Hope I helped!
1. [tex]6 \frac{3}{4}+1 \frac{6}{7}:6+1=7. [tex] \frac{3*7}{4*7}= \frac{21}{28} \ and \ \frac{6*4}{7*4}= \frac{24}{28}
\\ [/tex] Add:[tex] \frac{21}{28}+ \frac{24}{28}= \frac{45}{28}
\\ [/tex] [tex]Answer:\boxed{7 \frac{45}{28}}
\\ [/tex] 2. [tex]9 \frac{1}{5}-2 \frac{7}{8}:9-2=7. [tex] \frac{1*8}{5*8}= \frac{8}{40} \ and \ \frac{7*5}{8*5}= \frac{35}{40}
\\ [/tex] Subtract:[tex] \frac{35}{40}- \frac{8}{40}= \frac{27}{40}
\\ [/tex] Answer:[tex]\boxed{7 \frac{27}{40}}
\\ [/tex] 3. [tex]4 \frac{1}{3}*1 \frac{3}{4}:4*1=4.[tex] \frac{1*4}{3*4}= \frac{4}{12} \ and \ \frac{3*3}{4*3}= \frac{9}{12}
\\ [/tex] Cross Multipy:[tex] \frac{4}{12}* \frac{9}{12}= \frac{9}{36}
\\ [/tex] Simplify:4 \frac{9}{36}=4 \boxed{3}{12}=4 \boxed{1}{4}
[tex] \\ Answer:\boxed{4 \frac{1}{4}}
\\ [/tex] 4. 6 \frac{6}{7}÷3 \frac{2}{3}:6÷3=3. [tex] \frac{6*2}{7*2}= \frac{12}{14} \ and \ \frac{3*7}{2*7}= \frac{21}{14}
\\ [/tex] Multiply:[tex] \frac{12}{14}* \frac{21}{14}= \frac{252}{14}
\\ [/tex] Simplify:[tex]3 \frac{252}{14}=3 \frac{18}{1}
\\ [/tex] Answer:[tex]\boxed{3 \frac{18}{1}}
\\ [/tex]
