2. 1 7/8 + 2 3/6 = .....
3. 2 1/4 + 5 3/5 = ....
4. 7 5/12 + 5 10/15= .....
Penjelasan dengan langkah-langkah:
[tex]\large\text{PECAHAN}[/tex]
______________________________
Soal No. 1
[tex] \displaystyle\tt 2\frac{1}{2} + 5\frac{3}{5}[/tex]
[tex]= \displaystyle \tt (2 + 5) + \left(\frac{1}{2} + \frac{3}{5}\right)[/tex]
[tex]= \displaystyle \tt 7 + \left(\frac{1 \times 5}{2 \times 2} + \frac{3 \times 2}{5 \times 2}\right)[/tex]
[tex]= \displaystyle \tt 7 + \left(\frac{5}{10} + \frac{6}{10}\right)[/tex]
[tex]= \displaystyle \tt 7 + \frac{5 + 6}{10}[/tex]
[tex]= \displaystyle \tt 7 + \frac{11}{10}[/tex]
[tex]= \displaystyle \tt 7 + 1\frac{1}{10}[/tex]
[tex]= \displaystyle \tt 8\frac{1}{10}[/tex]
______________________________
Soal No. 2
[tex]\displaystyle \tt 1 \frac{7}{8} + 2\frac{3}{6}[/tex]
[tex]= \displaystyle \tt (1 + 2) + \left(\frac{7}{8} + \frac{ \cancel{3}}{ \cancel{6}}\right)[/tex]
[tex]= \displaystyle 3 + \left(\frac{7}{8} + \frac{1}{2}\right)[/tex]
[tex]= \displaystyle \tt 3 + \left(\frac{7}{8} + \frac{1 \times 4}{2 \times 4}\right)[/tex]
[tex]= \displaystyle \tt 3 + \left(\frac{7}{8} + \frac{4}{8}\right)[/tex]
[tex]= \displaystyle \tt 3 + \frac{7 + 4}{8}[/tex]
[tex]= \displaystyle \tt 3 + \frac{11}{8}[/tex]
[tex]= \displaystyle \tt 3 + 1\frac{3}{8}[/tex]
[tex]= \displaystyle \tt 4 \frac{3}{8}[/tex]
______________________________
Soal No. 3
[tex]\displaystyle \tt 2 \frac{1}{4} + 5 \frac{3}{5}[/tex]
[tex]= \displaystyle \tt (2 + 5) + \left(\frac{1}{4} + \frac{3}{5}\right)[/tex]
[tex]= \displaystyle \tt 7 + \left(\frac{1 \times 5}{4 \times 5} + \frac{3 \times 4}{5 \times 4}\right)[/tex]
[tex]= \displaystyle \tt 7 + \left(\frac{5}{20} + \frac{12}{20}\right)[/tex]
[tex]= \displaystyle \tt 7 + \frac{5 + 12}{20}[/tex]
[tex]= \displaystyle \tt 7 + \frac{17}{20}[/tex]
[tex]= \displaystyle \tt 7 \frac{17}{20}[/tex]
______________________________
Soal No. 4
[tex]\displaystyle \tt 7 \frac{5}{12} + 5 \frac{10}{15}[/tex]
[tex]= \displaystyle \tt (7 + 5) + \left(\frac{5}{12} + \frac{10}{15}\right)[/tex]
[tex]= \displaystyle \tt 12 + \left(\frac{5}{12} + \frac{ \cancel{10}}{ \cancel{15}}\right)[/tex]
[tex]= \displaystyle \tt 12 + \left(\frac{5}{12} + \frac{2}{3}\right)[/tex]
[tex]= \displaystyle \tt 12+ \left(\frac{1 \times 5}{4 \times 5} + \frac{2\times 4}{3 \times 4}\right)[/tex]
[tex]= \displaystyle \tt 12+ \left(\frac{5}{12} + \frac{8}{12}\right)[/tex]
[tex]= \displaystyle \tt 12+ \frac{5 + 8}{12}[/tex]
[tex]= \displaystyle \tt 12+ \frac{13}{12}[/tex]
[tex]= \displaystyle \tt 12+ 1\frac{1}{12}[/tex]
[tex]= \displaystyle \tt 13\frac{1}{12}[/tex]
[tex]\\ \\ \\ \\[/tex]
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