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Solve for \( x \).

[tex]\[ 3x = 6x - 2 \][/tex]

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म्हणजेच आपण अंशाचा अंशाशी व छेदाचा छेदाशी सरळ गुणाकार करतो.
- सरावासाठी उदाहरणे.
1) [tex]$\frac{1}{3} \times \frac{1}{4}=$[/tex]
2) [tex]$\frac{1}{4} \times \frac{4}{3}=$[/tex]
3) [tex]$\frac{2}{5} \times \frac{2}{4}=$[/tex]
4) [tex]$\frac{1}{5} \times \frac{1}{6}=$[/tex]
5) [tex]$\frac{3}{2} \times \frac{1}{4}=$[/tex]
6) [tex]$\frac{7}{4} \times \frac{2}{5}=$[/tex]
7) [tex]$\frac{1}{6} \times \frac{3}{5}=$[/tex]
8) [tex]$\frac{2}{3} \times \frac{3}{2}=$[/tex]
9) [tex]$\frac{8}{7} \times \frac{5}{2}=$[/tex]
10) [tex]$\frac{2}{5} \times \frac{3}{2}=$[/tex]
11) [tex]$\frac{1}{5} \times \frac{15}{7}=$[/tex]
12) [tex]$\frac{22}{7} \times \frac{7}{11}=$[/tex]
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Response:
म्हणजेच आपण अंशाचा अंशाशी व छेदाचा छेदाशी सरळ गुणाकार करतो.

सरावासाठी उदाहरणे:

1) [tex]\[ \frac{1}{3} \times \frac{1}{4} = \][/tex]
2) [tex]\[ \frac{1}{4} \times \frac{4}{3} = \][/tex]
3) [tex]\[ \frac{2}{5} \times \frac{2}{4} = \][/tex]
4) [tex]\[ \frac{1}{5} \times \frac{1}{6} = \][/tex]
5) [tex]\[ \frac{3}{2} \times \frac{1}{4} = \][/tex]
6) [tex]\[ \frac{7}{4} \times \frac{2}{5} = \][/tex]
7) [tex]\[ \frac{1}{6} \times \frac{3}{5} = \][/tex]
8) [tex]\[ \frac{2}{3} \times \frac{3}{2} = \][/tex]
9) [tex]\[ \frac{8}{7} \times \frac{5}{2} = \][/tex]
10) [tex]\[ \frac{2}{5} \times \frac{3}{2} = \][/tex]
11) [tex]\[ \frac{1}{5} \times \frac{15}{7} = \][/tex]
12) [tex]\[ \frac{22}{7} \times \frac{7}{11} = \][/tex]

Sagot :

चला प्रत्येक उदाहरणाचे उत्तर एक-एक करून सोडवूया:

1) [tex]$\frac{1}{3} \times \frac{1}{4} = \frac{1 \times 1}{3 \times 4} = \frac{1}{12} \approx 0.08333333333333333$[/tex]

2) [tex]$\frac{1}{4} \times \frac{4}{3} = \frac{1 \times 4}{4 \times 3} = \frac{4}{12} = \frac{1}{3} \approx 0.3333333333333333$[/tex]

3) [tex]$\frac{2}{5} \times \frac{2}{4} = \frac{2 \times 2}{5 \times 4} = \frac{4}{20} = \frac{1}{5} = 0.2$[/tex]

4) [tex]$\frac{1}{5} \times \frac{1}{6} = \frac{1 \times 1}{5 \times 6} = \frac{1}{30} \approx 0.03333333333333333$[/tex]

5) [tex]$\frac{3}{2} \times \frac{1}{4} = \frac{3 \times 1}{2 \times 4} = \frac{3}{8} = 0.375$[/tex]

6) [tex]$\frac{7}{4} \times \frac{2}{5} = \frac{7 \times 2}{4 \times 5} = \frac{14}{20} = \frac{7}{10} = 0.7$[/tex]

7) [tex]$\frac{1}{6} \times \frac{3}{5} = \frac{1 \times 3}{6 \times 5} = \frac{3}{30} = \frac{1}{10} = 0.1$[/tex]

8) [tex]$\frac{2}{3} \times \frac{3}{2} = \frac{2 \times 3}{3 \times 2} = \frac{6}{6} = 1.0$[/tex]

9) [tex]$\frac{8}{7} \times \frac{5}{2} = \frac{8 \times 5}{7 \times 2} = \frac{40}{14} = \frac{20}{7} \approx 2.857142857142857$[/tex]

10) [tex]$\frac{2}{5} \times \frac{3}{2} = \frac{2 \times 3}{5 \times 2} = \frac{6}{10} = \frac{3}{5} = 0.6$[/tex]

11) [tex]$\frac{1}{5} \times \frac{15}{7} = \frac{1 \times 15}{5 \times 7} = \frac{15}{35} = \frac{3}{7} \approx 0.4285714285714286$[/tex]

12) [tex]$\frac{22}{7} \times \frac{7}{11} = \frac{22 \times 7}{7 \times 11} = \frac{154}{77} = 2.0$[/tex]

प्रत्येक चरणात आपलं मुख्य कार्य हा अंशाचा अंशाशी आणि छेदाचा छेदाशी गुणाकार करणे आहे. तसेच, जर आवश्यक असेल तर उत्तर साधारण करणे.