Answer :
Sure, let's go through each multiplication of fractions step-by-step to see how we can find the results:
1. [tex]\(\frac{2}{1} \times \frac{3}{10}\)[/tex]
- Multiply the numerators: [tex]\(2 \times 3 = 6\)[/tex].
- Multiply the denominators: [tex]\(1 \times 10 = 10\)[/tex].
- So, [tex]\(\frac{2}{1} \times \frac{3}{10} = \frac{6}{10}\)[/tex].
2. [tex]\(\frac{8}{1} \times \frac{4}{8}\)[/tex]
- Multiply the numerators: [tex]\(8 \times 4 = 32\)[/tex].
- Multiply the denominators: [tex]\(1 \times 8 = 8\)[/tex].
- So, [tex]\(\frac{8}{1} \times \frac{4}{8} = \frac{32}{8}\)[/tex].
3. [tex]\(9 \times \frac{3}{9}\)[/tex]
- Note that [tex]\(9\)[/tex] is also [tex]\(\frac{9}{1}\)[/tex].
- Multiply the numerators: [tex]\(9 \times 3 = 27\)[/tex].
- Multiply the denominators: [tex]\(1 \times 9 = 9\)[/tex].
- So, [tex]\(9 \times \frac{3}{9} = \frac{27}{9}\)[/tex].
4. [tex]\(12 \times \frac{2}{11}\)[/tex]
- Note that [tex]\(12\)[/tex] is also [tex]\(\frac{12}{1}\)[/tex].
- Multiply the numerators: [tex]\(12 \times 2 = 24\)[/tex].
- Multiply the denominators: [tex]\(1 \times 11 = 11\)[/tex].
- So, [tex]\(12 \times \frac{2}{11} = \frac{24}{11}\)[/tex].
5. [tex]\(3 \times \frac{5}{7}\)[/tex]
- Note that [tex]\(3\)[/tex] is also [tex]\(\frac{3}{1}\)[/tex].
- Multiply the numerators: [tex]\(3 \times 5 = 15\)[/tex].
- Multiply the denominators: [tex]\(1 \times 7 = 7\)[/tex].
- So, [tex]\(3 \times \frac{5}{7} = \frac{15}{7}\)[/tex].
6. [tex]\(2 \times \frac{3}{5}\)[/tex]
- Note that [tex]\(2\)[/tex] is also [tex]\(\frac{2}{1}\)[/tex].
- Multiply the numerators: [tex]\(2 \times 3 = 6\)[/tex].
- Multiply the denominators: [tex]\(1 \times 5 = 5\)[/tex].
- So, [tex]\(2 \times \frac{3}{5} = \frac{6}{5}\)[/tex].
7. [tex]\(11 \times \frac{4}{8}\)[/tex]
- Note that [tex]\(11\)[/tex] is also [tex]\(\frac{11}{1}\)[/tex].
- Multiply the numerators: [tex]\(11 \times 4 = 44\)[/tex].
- Multiply the denominators: [tex]\(1 \times 8 = 8\)[/tex].
- So, [tex]\(11 \times \frac{4}{8} = \frac{44}{8}\)[/tex].
8. [tex]\(10 \times \frac{1}{4}\)[/tex]
- Note that [tex]\(10\)[/tex] is also [tex]\(\frac{10}{1}\)[/tex].
- Multiply the numerators: [tex]\(10 \times 1 = 10\)[/tex].
- Multiply the denominators: [tex]\(1 \times 4 = 4\)[/tex].
- So, [tex]\(10 \times \frac{1}{4} = \frac{10}{4}\)[/tex].
9. [tex]\(5 \times \frac{1}{4}\)[/tex]
- Note that [tex]\(5\)[/tex] is also [tex]\(\frac{5}{1}\)[/tex].
- Multiply the numerators: [tex]\(5 \times 1 = 5\)[/tex].
- Multiply the denominators: [tex]\(1 \times 4 = 4\)[/tex].
- So, [tex]\(5 \times \frac{1}{4} = \frac{5}{4}\)[/tex].
10. [tex]\(11 \times \frac{2}{7}\)[/tex]
- Note that [tex]\(11\)[/tex] is also [tex]\(\frac{11}{1}\)[/tex].
- Multiply the numerators: [tex]\(11 \times 2 = 22\)[/tex].
- Multiply the denominators: [tex]\(1 \times 7 = 7\)[/tex].
- So, [tex]\(11 \times \frac{2}{7} = \frac{22}{7}\)[/tex].
By following these steps for each pair of fractions, we get the final results:
- [tex]\(\frac{6}{10}\)[/tex]
- [tex]\(\frac{32}{8}\)[/tex]
- [tex]\(\frac{27}{9}\)[/tex]
- [tex]\(\frac{24}{11}\)[/tex]
- [tex]\(\frac{15}{7}\)[/tex]
- [tex]\(\frac{6}{5}\)[/tex]
- [tex]\(\frac{44}{8}\)[/tex]
- [tex]\(\frac{10}{4}\)[/tex]
- [tex]\(\frac{5}{4}\)[/tex]
- [tex]\(\frac{22}{7}\)[/tex]
1. [tex]\(\frac{2}{1} \times \frac{3}{10}\)[/tex]
- Multiply the numerators: [tex]\(2 \times 3 = 6\)[/tex].
- Multiply the denominators: [tex]\(1 \times 10 = 10\)[/tex].
- So, [tex]\(\frac{2}{1} \times \frac{3}{10} = \frac{6}{10}\)[/tex].
2. [tex]\(\frac{8}{1} \times \frac{4}{8}\)[/tex]
- Multiply the numerators: [tex]\(8 \times 4 = 32\)[/tex].
- Multiply the denominators: [tex]\(1 \times 8 = 8\)[/tex].
- So, [tex]\(\frac{8}{1} \times \frac{4}{8} = \frac{32}{8}\)[/tex].
3. [tex]\(9 \times \frac{3}{9}\)[/tex]
- Note that [tex]\(9\)[/tex] is also [tex]\(\frac{9}{1}\)[/tex].
- Multiply the numerators: [tex]\(9 \times 3 = 27\)[/tex].
- Multiply the denominators: [tex]\(1 \times 9 = 9\)[/tex].
- So, [tex]\(9 \times \frac{3}{9} = \frac{27}{9}\)[/tex].
4. [tex]\(12 \times \frac{2}{11}\)[/tex]
- Note that [tex]\(12\)[/tex] is also [tex]\(\frac{12}{1}\)[/tex].
- Multiply the numerators: [tex]\(12 \times 2 = 24\)[/tex].
- Multiply the denominators: [tex]\(1 \times 11 = 11\)[/tex].
- So, [tex]\(12 \times \frac{2}{11} = \frac{24}{11}\)[/tex].
5. [tex]\(3 \times \frac{5}{7}\)[/tex]
- Note that [tex]\(3\)[/tex] is also [tex]\(\frac{3}{1}\)[/tex].
- Multiply the numerators: [tex]\(3 \times 5 = 15\)[/tex].
- Multiply the denominators: [tex]\(1 \times 7 = 7\)[/tex].
- So, [tex]\(3 \times \frac{5}{7} = \frac{15}{7}\)[/tex].
6. [tex]\(2 \times \frac{3}{5}\)[/tex]
- Note that [tex]\(2\)[/tex] is also [tex]\(\frac{2}{1}\)[/tex].
- Multiply the numerators: [tex]\(2 \times 3 = 6\)[/tex].
- Multiply the denominators: [tex]\(1 \times 5 = 5\)[/tex].
- So, [tex]\(2 \times \frac{3}{5} = \frac{6}{5}\)[/tex].
7. [tex]\(11 \times \frac{4}{8}\)[/tex]
- Note that [tex]\(11\)[/tex] is also [tex]\(\frac{11}{1}\)[/tex].
- Multiply the numerators: [tex]\(11 \times 4 = 44\)[/tex].
- Multiply the denominators: [tex]\(1 \times 8 = 8\)[/tex].
- So, [tex]\(11 \times \frac{4}{8} = \frac{44}{8}\)[/tex].
8. [tex]\(10 \times \frac{1}{4}\)[/tex]
- Note that [tex]\(10\)[/tex] is also [tex]\(\frac{10}{1}\)[/tex].
- Multiply the numerators: [tex]\(10 \times 1 = 10\)[/tex].
- Multiply the denominators: [tex]\(1 \times 4 = 4\)[/tex].
- So, [tex]\(10 \times \frac{1}{4} = \frac{10}{4}\)[/tex].
9. [tex]\(5 \times \frac{1}{4}\)[/tex]
- Note that [tex]\(5\)[/tex] is also [tex]\(\frac{5}{1}\)[/tex].
- Multiply the numerators: [tex]\(5 \times 1 = 5\)[/tex].
- Multiply the denominators: [tex]\(1 \times 4 = 4\)[/tex].
- So, [tex]\(5 \times \frac{1}{4} = \frac{5}{4}\)[/tex].
10. [tex]\(11 \times \frac{2}{7}\)[/tex]
- Note that [tex]\(11\)[/tex] is also [tex]\(\frac{11}{1}\)[/tex].
- Multiply the numerators: [tex]\(11 \times 2 = 22\)[/tex].
- Multiply the denominators: [tex]\(1 \times 7 = 7\)[/tex].
- So, [tex]\(11 \times \frac{2}{7} = \frac{22}{7}\)[/tex].
By following these steps for each pair of fractions, we get the final results:
- [tex]\(\frac{6}{10}\)[/tex]
- [tex]\(\frac{32}{8}\)[/tex]
- [tex]\(\frac{27}{9}\)[/tex]
- [tex]\(\frac{24}{11}\)[/tex]
- [tex]\(\frac{15}{7}\)[/tex]
- [tex]\(\frac{6}{5}\)[/tex]
- [tex]\(\frac{44}{8}\)[/tex]
- [tex]\(\frac{10}{4}\)[/tex]
- [tex]\(\frac{5}{4}\)[/tex]
- [tex]\(\frac{22}{7}\)[/tex]
