1. 2 ⅖ + 3 3/10 + 1/4
= 2 + 3 = 5
⅖ + 3/10 + ¼
= .../20 + .../20 + .../20
=(20 ÷ 5 × 2)/20 + (20 ÷ 10 × 3)/20 + (20 ÷ 4 × 1)/20
= 8/20 + 6/20 + 5/20
= 14 + 5/20
= 19/20
= 5 19/20
2. 5 4/9 + 2 ⅖ + 5/12
= 5 + 2 = 7
4/9 + ⅖ + 5/12
= .../180 + .../180 + .../180
=(180 ÷ 9 × 4)/20 + (180 ÷ 5 × 2)/180 + (180 ÷ 12 × 5)/180
= 80/180 + 72/180 + 75/180
= (80 + 72 + 75)/180
= (152 + 75)/180
= 227/180
= 1 47/180
= 7 + 1 = 8
= 8 47/180
3. 3 ¾ + 3 ⅙ + ⅓
• 3 + 3 = 6
¾ + ⅙ + ⅓
= .../12 + .../12 + .../12
= (12 ÷ 4 × 3)/12 + (12 ÷ 6 × 1)/12 + (12 ÷ 3 × 1)/12
= 9/12 + 2/12 + 4/12
= (9 + 2 + 4)/12
= 15/12
= 1 3/12
= 1 1/4
= 6 + 1 = 7
= 7 ¼
4. 2 ½ + 3 ⅓ + 1 ¼
= 2 + 3 + 1 = 6
½ + ⅓ + ¼
= (12 ÷ 2 × 1)/12 + (12 ÷ 3 × 1)/12 + (12 ÷ 4 × 1)/12
= 6/12 + 4/12 + 3/12
= 13/12
= 1 1/12
= 7 1/12
5. 2 ⅕ + ⅔ + 2 ¼
= 2 + 2 = 4
⅕ + ⅔ + ¼
= .../60 + .../60 + .../60
= (60 ÷ 5 × 1)/60 + (60 ÷ 3 × 2)/60 + (60 ÷ 4 × 1)/60
= 12/60 + 40/60 + 15/60
= 67/60
= 1 7/60
= 1 + 4 = 5
= 5 7/60
[tex]\sf \bf \sf 2 \frac{2}{5} + 3 \frac{3}{10} + \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{2×5+2}{5} + \frac{3×10+3}{10} + \frac{1}{4}[/tex]
[tex]\sf \bf \£sf \frac{12}{5} + \frac{33}{10} + \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{12×12}{5×12} + \frac{33×6}{10 ×6 } + \frac{1×15}{4×15}[/tex]
[tex]\sf \bf \sf \frac{144}{60} + \frac{198}{60 } + \frac{15}{60}[/tex]
[tex]\sf \bf \sf \frac{144 + 198 + 15}{60}[/tex]
[tex]\sf \bf \sf \frac{357}{60}[/tex]
[tex]\sf \bf \sf \frac{357 ÷ 3}{60÷3}[/tex]
[tex]\sf \bf \sf \frac{119}{20}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 5 \frac{19}{20}}}}}[/tex]
[tex]\sf \bf \sf 5 \frac{4}{9} + 2 \frac{2}{5} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{5×9+4}{9} + \frac{2×5+2}{5} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{49}{9} + \frac{12}{5} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{49 × 5}{9 × 5} + \frac{12 × 9}{5 × 9} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{245}{45} + \frac{108}{45} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{245 + 108}{45} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{353}{45} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{353 × 12}{45 × 12} + \frac{5 × 45}{12 × 45}[/tex]
[tex]\sf \bf \sf \frac{4.236}{540} + \frac{225}{540}[/tex]
[tex]\sf \bf \sf \frac{4.236 + 225}{540}[/tex]
[tex]\sf \bf \sf \frac{4.461}{540}[/tex]
[tex]\sf \bf \sf \frac{4.461 ÷ 3}{540 ÷ 3}[/tex]
[tex]\sf \bf \sf \frac{1.487}{180}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 8 \frac{47}{180}}}}}[/tex]
[tex]\sf \bf \sf 3 \frac{3}{4} + 3 \frac{1}{6} + \frac{1}{3}[/tex]
[tex]\sf \bf \sf \frac{3 × 4 +3}{4} + \frac{3×6+1}{6} + \frac{1}{3}[/tex]
[tex]\sf \bf \sf \frac{15}{4} + \frac{19}{6} + \frac{1}{3}[/tex]
[tex]\sf \bf \sf \frac{15 × 3}{4 × 3} + \frac{19 × 2}{6 × 2} + \frac{1 × 4}{3 × 4}[/tex]
[tex]\sf \bf \sf \frac{45}{12} + \frac{38}{12} + \frac{4}{12}[/tex]
[tex]\sf \bf \sf \frac{45 + 38 + 4}{12}[/tex]
[tex]\sf \bf \sf \frac{87}{12}[/tex]
[tex]\sf \bf \sf \frac{87 ÷ 3}{12 ÷ 3}[/tex]
[tex]\sf \bf \sf \frac{29}{4}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 7 \frac{1}{4}}}}}[/tex]
[tex]\sf \bf \sf 2 \frac{1}{2} + 3 \frac{1}{3} + 1 \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{2×2+1}{2} + \frac{3×3+1}{3} + \frac{1×4+1}{4}[/tex]
[tex]\sf \bf \sf \frac{5}{2} + \frac{10}{3} + \frac{5}{4}[/tex]
[tex]\sf \bf \sf \frac{5 × 6}{2 × 6} + \frac{10 × 4}{3 × 4} + \frac{5 × 3}{4 × 3}[/tex]
[tex]\sf \bf \sf \frac{30}{12} + \frac{40}{12} + \frac{15}{12}[/tex]
[tex]\sf \bf \sf \frac{30 + 40 + 15}{12}[/tex]
[tex]\sf \bf \sf \frac{85}{12}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 7 \frac{1}{12}}}}}[/tex]
[tex]\sf \bf \sf 2 \frac{1}{5} + \frac{2}{3} + 2 \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{2×5+1}{5} + \frac{2}{3} + \frac{2×4+1}{4}[/tex]
[tex]\sf \bf \sf \frac{11}{5} + \frac{2}{3} + \frac{9}{4}[/tex]
[tex]\sf \bf \sf \frac{11 × 12}{5 × 12} + \frac{2 × 20}{3 × 20} + \frac{9 × 15}{4 × 15}[/tex]
[tex]\sf \bf \sf \frac{132}{60} + \frac{40}{60} + \frac{135}{60}[/tex]
[tex]\sf \bf \sf \frac{132 + 40 + 135}{60}[/tex]
[tex]\sf \bf \sf \frac{172+ 135}{60}[/tex]
[tex]\sf \bf \sf \frac{307}{60}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 5 \frac{7}{60}}}}}[/tex]
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Verified answer
1. 2 ⅖ + 3 3/10 + 1/4
= 2 + 3 = 5
⅖ + 3/10 + ¼
= .../20 + .../20 + .../20
=(20 ÷ 5 × 2)/20 + (20 ÷ 10 × 3)/20 + (20 ÷ 4 × 1)/20
= 8/20 + 6/20 + 5/20
= 14 + 5/20
= 19/20
= 5 19/20
2. 5 4/9 + 2 ⅖ + 5/12
= 5 + 2 = 7
4/9 + ⅖ + 5/12
= .../180 + .../180 + .../180
=(180 ÷ 9 × 4)/20 + (180 ÷ 5 × 2)/180 + (180 ÷ 12 × 5)/180
= 80/180 + 72/180 + 75/180
= (80 + 72 + 75)/180
= (152 + 75)/180
= 227/180
= 1 47/180
= 7 + 1 = 8
= 8 47/180
3. 3 ¾ + 3 ⅙ + ⅓
• 3 + 3 = 6
¾ + ⅙ + ⅓
= .../12 + .../12 + .../12
= (12 ÷ 4 × 3)/12 + (12 ÷ 6 × 1)/12 + (12 ÷ 3 × 1)/12
= 9/12 + 2/12 + 4/12
= (9 + 2 + 4)/12
= 15/12
= 1 3/12
= 1 1/4
= 6 + 1 = 7
= 7 ¼
4. 2 ½ + 3 ⅓ + 1 ¼
= 2 + 3 + 1 = 6
½ + ⅓ + ¼
= .../12 + .../12 + .../12
= (12 ÷ 2 × 1)/12 + (12 ÷ 3 × 1)/12 + (12 ÷ 4 × 1)/12
= 6/12 + 4/12 + 3/12
= 13/12
= 1 1/12
= 6 + 1 = 7
= 7 1/12
5. 2 ⅕ + ⅔ + 2 ¼
= 2 + 2 = 4
⅕ + ⅔ + ¼
= .../60 + .../60 + .../60
= (60 ÷ 5 × 1)/60 + (60 ÷ 3 × 2)/60 + (60 ÷ 4 × 1)/60
= 12/60 + 40/60 + 15/60
= 67/60
= 1 7/60
= 1 + 4 = 5
= 5 7/60
Nomor 1
[tex]\sf \bf \sf 2 \frac{2}{5} + 3 \frac{3}{10} + \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{2×5+2}{5} + \frac{3×10+3}{10} + \frac{1}{4}[/tex]
[tex]\sf \bf \£sf \frac{12}{5} + \frac{33}{10} + \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{12×12}{5×12} + \frac{33×6}{10 ×6 } + \frac{1×15}{4×15}[/tex]
[tex]\sf \bf \sf \frac{144}{60} + \frac{198}{60 } + \frac{15}{60}[/tex]
[tex]\sf \bf \sf \frac{144 + 198 + 15}{60}[/tex]
[tex]\sf \bf \sf \frac{357}{60}[/tex]
[tex]\sf \bf \sf \frac{357 ÷ 3}{60÷3}[/tex]
[tex]\sf \bf \sf \frac{119}{20}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 5 \frac{19}{20}}}}}[/tex]
=======================
Nomor 2
[tex]\sf \bf \sf 5 \frac{4}{9} + 2 \frac{2}{5} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{5×9+4}{9} + \frac{2×5+2}{5} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{49}{9} + \frac{12}{5} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{49 × 5}{9 × 5} + \frac{12 × 9}{5 × 9} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{245}{45} + \frac{108}{45} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{245 + 108}{45} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{353}{45} + \frac{5}{12}[/tex]
[tex]\sf \bf \sf \frac{353 × 12}{45 × 12} + \frac{5 × 45}{12 × 45}[/tex]
[tex]\sf \bf \sf \frac{4.236}{540} + \frac{225}{540}[/tex]
[tex]\sf \bf \sf \frac{4.236 + 225}{540}[/tex]
[tex]\sf \bf \sf \frac{4.461}{540}[/tex]
[tex]\sf \bf \sf \frac{4.461 ÷ 3}{540 ÷ 3}[/tex]
[tex]\sf \bf \sf \frac{1.487}{180}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 8 \frac{47}{180}}}}}[/tex]
=======================
Nomor 3
[tex]\sf \bf \sf 3 \frac{3}{4} + 3 \frac{1}{6} + \frac{1}{3}[/tex]
[tex]\sf \bf \sf \frac{3 × 4 +3}{4} + \frac{3×6+1}{6} + \frac{1}{3}[/tex]
[tex]\sf \bf \sf \frac{15}{4} + \frac{19}{6} + \frac{1}{3}[/tex]
[tex]\sf \bf \sf \frac{15 × 3}{4 × 3} + \frac{19 × 2}{6 × 2} + \frac{1 × 4}{3 × 4}[/tex]
[tex]\sf \bf \sf \frac{45}{12} + \frac{38}{12} + \frac{4}{12}[/tex]
[tex]\sf \bf \sf \frac{45 + 38 + 4}{12}[/tex]
[tex]\sf \bf \sf \frac{87}{12}[/tex]
[tex]\sf \bf \sf \frac{87 ÷ 3}{12 ÷ 3}[/tex]
[tex]\sf \bf \sf \frac{29}{4}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 7 \frac{1}{4}}}}}[/tex]
=======================
Nomor 4
[tex]\sf \bf \sf 2 \frac{1}{2} + 3 \frac{1}{3} + 1 \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{2×2+1}{2} + \frac{3×3+1}{3} + \frac{1×4+1}{4}[/tex]
[tex]\sf \bf \sf \frac{5}{2} + \frac{10}{3} + \frac{5}{4}[/tex]
[tex]\sf \bf \sf \frac{5 × 6}{2 × 6} + \frac{10 × 4}{3 × 4} + \frac{5 × 3}{4 × 3}[/tex]
[tex]\sf \bf \sf \frac{30}{12} + \frac{40}{12} + \frac{15}{12}[/tex]
[tex]\sf \bf \sf \frac{30 + 40 + 15}{12}[/tex]
[tex]\sf \bf \sf \frac{85}{12}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 7 \frac{1}{12}}}}}[/tex]
=======================
Nomor 5
[tex]\sf \bf \sf 2 \frac{1}{5} + \frac{2}{3} + 2 \frac{1}{4}[/tex]
[tex]\sf \bf \sf \frac{2×5+1}{5} + \frac{2}{3} + \frac{2×4+1}{4}[/tex]
[tex]\sf \bf \sf \frac{11}{5} + \frac{2}{3} + \frac{9}{4}[/tex]
[tex]\sf \bf \sf \frac{11 × 12}{5 × 12} + \frac{2 × 20}{3 × 20} + \frac{9 × 15}{4 × 15}[/tex]
[tex]\sf \bf \sf \frac{132}{60} + \frac{40}{60} + \frac{135}{60}[/tex]
[tex]\sf \bf \sf \frac{132 + 40 + 135}{60}[/tex]
[tex]\sf \bf \sf \frac{172+ 135}{60}[/tex]
[tex]\sf \bf \sf \frac{307}{60}[/tex]
[tex]\bold{\underline{\boxed{\pink{\sf \bf \tt 5 \frac{7}{60}}}}}[/tex]
#BelajarBersamaBrainly